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Finding the Fourth Proportional to 19,423.84, 29,142.22 and 9,569.92

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Solution

The fourth proportional to 19,423.84, 29,142.22 and 9,569.92 is: 14,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,423.84 : 29,142.22 = 9,569.92 : x
  2. Step 2: Convert to fraction form
    19,423.84/29,142.22 = 9,569.92/x
  3. Step 3: Cross multiply
    19,423.84x = 29,142.22 × 9,569.92
  4. Step 4: Simplify right side
    19,423.84x = 278,888,714.02
  5. Step 5: Solve for x
    x = 278,888,714.02/19,423.84
  6. Step 6: Final answer
    x = 14,358.06

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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.