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Finding the Fourth Proportional to 16,154.84, 24,232.80 and 4,468.16

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Solution

The fourth proportional to 16,154.84, 24,232.80 and 4,468.16 is: 6,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.84 : 24,232.80 = 4,468.16 : x
  2. Step 2: Convert to fraction form
    16,154.84/24,232.80 = 4,468.16/x
  3. Step 3: Cross multiply
    16,154.84x = 24,232.80 × 4,468.16
  4. Step 4: Simplify right side
    16,154.84x = 108,276,027.65
  5. Step 5: Solve for x
    x = 108,276,027.65/16,154.84
  6. Step 6: Final answer
    x = 6,702.39

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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.