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Finding the Fourth Proportional to 16,514.86, 24,730 and 9,111.10

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Solution

The fourth proportional to 16,514.86, 24,730 and 9,111.10 is: 13,643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.86 : 24,730 = 9,111.10 : x
  2. Step 2: Convert to fraction form
    16,514.86/24,730 = 9,111.10/x
  3. Step 3: Cross multiply
    16,514.86x = 24,730 × 9,111.10
  4. Step 4: Simplify right side
    16,514.86x = 225,317,503
  5. Step 5: Solve for x
    x = 225,317,503/16,514.86
  6. Step 6: Final answer
    x = 13,643.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.