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Finding the Fourth Proportional to 17,980.71, 24,814.23 and 10,022.99

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Solution

The fourth proportional to 17,980.71, 24,814.23 and 10,022.99 is: 13,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980.71 : 24,814.23 = 10,022.99 : x
  2. Step 2: Convert to fraction form
    17,980.71/24,814.23 = 10,022.99/x
  3. Step 3: Cross multiply
    17,980.71x = 24,814.23 × 10,022.99
  4. Step 4: Simplify right side
    17,980.71x = 248,712,655.08
  5. Step 5: Solve for x
    x = 248,712,655.08/17,980.71
  6. Step 6: Final answer
    x = 13,832.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.