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Finding the Fourth Proportional to 19,513.92, 29,275.20 and 9,120

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Solution

The fourth proportional to 19,513.92, 29,275.20 and 9,120 is: 13,682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513.92 : 29,275.20 = 9,120 : x
  2. Step 2: Convert to fraction form
    19,513.92/29,275.20 = 9,120/x
  3. Step 3: Cross multiply
    19,513.92x = 29,275.20 × 9,120
  4. Step 4: Simplify right side
    19,513.92x = 266,989,824
  5. Step 5: Solve for x
    x = 266,989,824/19,513.92
  6. Step 6: Final answer
    x = 13,682.02

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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.