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Finding the Fourth Proportional to 16,409.14, 24,612.72 and 6,545.74

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Solution

The fourth proportional to 16,409.14, 24,612.72 and 6,545.74 is: 9,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.14 : 24,612.72 = 6,545.74 : x
  2. Step 2: Convert to fraction form
    16,409.14/24,612.72 = 6,545.74/x
  3. Step 3: Cross multiply
    16,409.14x = 24,612.72 × 6,545.74
  4. Step 4: Simplify right side
    16,409.14x = 161,108,465.81
  5. Step 5: Solve for x
    x = 161,108,465.81/16,409.14
  6. Step 6: Final answer
    x = 9,818.22

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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.