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Finding the Fourth Proportional to 16,411.86, 24,621.47 and 4,724.18

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Solution

The fourth proportional to 16,411.86, 24,621.47 and 4,724.18 is: 7,087.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.86 : 24,621.47 = 4,724.18 : x
  2. Step 2: Convert to fraction form
    16,411.86/24,621.47 = 4,724.18/x
  3. Step 3: Cross multiply
    16,411.86x = 24,621.47 × 4,724.18
  4. Step 4: Simplify right side
    16,411.86x = 116,316,109.42
  5. Step 5: Solve for x
    x = 116,316,109.42/16,411.86
  6. Step 6: Final answer
    x = 7,087.32

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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.