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Finding the Fourth Proportional to 17,978.10, 24,809.54 and 10,020.66

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Solution

The fourth proportional to 17,978.10, 24,809.54 and 10,020.66 is: 13,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.10 : 24,809.54 = 10,020.66 : x
  2. Step 2: Convert to fraction form
    17,978.10/24,809.54 = 10,020.66/x
  3. Step 3: Cross multiply
    17,978.10x = 24,809.54 × 10,020.66
  4. Step 4: Simplify right side
    17,978.10x = 248,607,914.99
  5. Step 5: Solve for x
    x = 248,607,914.99/17,978.10
  6. Step 6: Final answer
    x = 13,828.38

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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.