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Finding the Fourth Proportional to 22,472.32, 31,019.06 and 14,508.40

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Solution

The fourth proportional to 22,472.32, 31,019.06 and 14,508.40 is: 20,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.32 : 31,019.06 = 14,508.40 : x
  2. Step 2: Convert to fraction form
    22,472.32/31,019.06 = 14,508.40/x
  3. Step 3: Cross multiply
    22,472.32x = 31,019.06 × 14,508.40
  4. Step 4: Simplify right side
    22,472.32x = 450,036,930.10
  5. Step 5: Solve for x
    x = 450,036,930.10/22,472.32
  6. Step 6: Final answer
    x = 20,026.28

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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.