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Finding the Fourth Proportional to 16,417.14, 24,648.52 and 11,407.71

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Solution

The fourth proportional to 16,417.14, 24,648.52 and 11,407.71 is: 17,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.14 : 24,648.52 = 11,407.71 : x
  2. Step 2: Convert to fraction form
    16,417.14/24,648.52 = 11,407.71/x
  3. Step 3: Cross multiply
    16,417.14x = 24,648.52 × 11,407.71
  4. Step 4: Simplify right side
    16,417.14x = 281,183,135.94
  5. Step 5: Solve for x
    x = 281,183,135.94/16,417.14
  6. Step 6: Final answer
    x = 17,127.42

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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.