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Finding the Fourth Proportional to 22,472.16, 31,005.36 and 14,514.72

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Solution

The fourth proportional to 22,472.16, 31,005.36 and 14,514.72 is: 20,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.16 : 31,005.36 = 14,514.72 : x
  2. Step 2: Convert to fraction form
    22,472.16/31,005.36 = 14,514.72/x
  3. Step 3: Cross multiply
    22,472.16x = 31,005.36 × 14,514.72
  4. Step 4: Simplify right side
    22,472.16x = 450,034,118.90
  5. Step 5: Solve for x
    x = 450,034,118.90/22,472.16
  6. Step 6: Final answer
    x = 20,026.30

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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.