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Finding the Fourth Proportional to 22,499.57, 31,051.32 and 12,429.11

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Solution

The fourth proportional to 22,499.57, 31,051.32 and 12,429.11 is: 17,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,499.57 : 31,051.32 = 12,429.11 : x
  2. Step 2: Convert to fraction form
    22,499.57/31,051.32 = 12,429.11/x
  3. Step 3: Cross multiply
    22,499.57x = 31,051.32 × 12,429.11
  4. Step 4: Simplify right side
    22,499.57x = 385,940,279.72
  5. Step 5: Solve for x
    x = 385,940,279.72/22,499.57
  6. Step 6: Final answer
    x = 17,153.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.