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Finding the Fourth Proportional to 17,809.20, 24,572.28 and 11,514

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Solution

The fourth proportional to 17,809.20, 24,572.28 and 11,514 is: 15,886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.20 : 24,572.28 = 11,514 : x
  2. Step 2: Convert to fraction form
    17,809.20/24,572.28 = 11,514/x
  3. Step 3: Cross multiply
    17,809.20x = 24,572.28 × 11,514
  4. Step 4: Simplify right side
    17,809.20x = 282,925,231.92
  5. Step 5: Solve for x
    x = 282,925,231.92/17,809.20
  6. Step 6: Final answer
    x = 15,886.46

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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.