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Finding the Fourth Proportional to 19,943.71, 29,915.53 and 9,264.22

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Solution

The fourth proportional to 19,943.71, 29,915.53 and 9,264.22 is: 13,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,943.71 : 29,915.53 = 9,264.22 : x
  2. Step 2: Convert to fraction form
    19,943.71/29,915.53 = 9,264.22/x
  3. Step 3: Cross multiply
    19,943.71x = 29,915.53 × 9,264.22
  4. Step 4: Simplify right side
    19,943.71x = 277,144,051.34
  5. Step 5: Solve for x
    x = 277,144,051.34/19,943.71
  6. Step 6: Final answer
    x = 13,896.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.