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Finding the Fourth Proportional to 17,772.71, 24,526.21 and 9,814.87

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Solution

The fourth proportional to 17,772.71, 24,526.21 and 9,814.87 is: 13,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.71 : 24,526.21 = 9,814.87 : x
  2. Step 2: Convert to fraction form
    17,772.71/24,526.21 = 9,814.87/x
  3. Step 3: Cross multiply
    17,772.71x = 24,526.21 × 9,814.87
  4. Step 4: Simplify right side
    17,772.71x = 240,721,513.67
  5. Step 5: Solve for x
    x = 240,721,513.67/17,772.71
  6. Step 6: Final answer
    x = 13,544.45

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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.