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Finding the Fourth Proportional to 19,717.64, 29,567.76 and 7,397

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Solution

The fourth proportional to 19,717.64, 29,567.76 and 7,397 is: 11,092.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,717.64 : 29,567.76 = 7,397 : x
  2. Step 2: Convert to fraction form
    19,717.64/29,567.76 = 7,397/x
  3. Step 3: Cross multiply
    19,717.64x = 29,567.76 × 7,397
  4. Step 4: Simplify right side
    19,717.64x = 218,712,720.72
  5. Step 5: Solve for x
    x = 218,712,720.72/19,717.64
  6. Step 6: Final answer
    x = 11,092.24

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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.