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Finding the Fourth Proportional to 19,641.16, 29,466.06 and 9,264.52

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Solution

The fourth proportional to 19,641.16, 29,466.06 and 9,264.52 is: 13,898.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.16 : 29,466.06 = 9,264.52 : x
  2. Step 2: Convert to fraction form
    19,641.16/29,466.06 = 9,264.52/x
  3. Step 3: Cross multiply
    19,641.16x = 29,466.06 × 9,264.52
  4. Step 4: Simplify right side
    19,641.16x = 272,988,902.19
  5. Step 5: Solve for x
    x = 272,988,902.19/19,641.16
  6. Step 6: Final answer
    x = 13,898.82

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