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Finding the Fourth Proportional to 22,933.32, 31,644.93 and 12,724.19

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Solution

The fourth proportional to 22,933.32, 31,644.93 and 12,724.19 is: 17,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933.32 : 31,644.93 = 12,724.19 : x
  2. Step 2: Convert to fraction form
    22,933.32/31,644.93 = 12,724.19/x
  3. Step 3: Cross multiply
    22,933.32x = 31,644.93 × 12,724.19
  4. Step 4: Simplify right side
    22,933.32x = 402,656,038.24
  5. Step 5: Solve for x
    x = 402,656,038.24/22,933.32
  6. Step 6: Final answer
    x = 17,557.69

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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.