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Finding the Fourth Proportional to 19,468.24, 29,203.92 and 7,775.04

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Solution

The fourth proportional to 19,468.24, 29,203.92 and 7,775.04 is: 11,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,468.24 : 29,203.92 = 7,775.04 : x
  2. Step 2: Convert to fraction form
    19,468.24/29,203.92 = 7,775.04/x
  3. Step 3: Cross multiply
    19,468.24x = 29,203.92 × 7,775.04
  4. Step 4: Simplify right side
    19,468.24x = 227,061,646.16
  5. Step 5: Solve for x
    x = 227,061,646.16/19,468.24
  6. Step 6: Final answer
    x = 11,663.18

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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.