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Finding the Fourth Proportional to 22,473.64, 31,013.40 and 12,402.16

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Solution

The fourth proportional to 22,473.64, 31,013.40 and 12,402.16 is: 17,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.64 : 31,013.40 = 12,402.16 : x
  2. Step 2: Convert to fraction form
    22,473.64/31,013.40 = 12,402.16/x
  3. Step 3: Cross multiply
    22,473.64x = 31,013.40 × 12,402.16
  4. Step 4: Simplify right side
    22,473.64x = 384,633,148.94
  5. Step 5: Solve for x
    x = 384,633,148.94/22,473.64
  6. Step 6: Final answer
    x = 17,114.86

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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.