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Finding the Fourth Proportional to 16,114.04, 24,171.08 and 4,429

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Solution

The fourth proportional to 16,114.04, 24,171.08 and 4,429 is: 6,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.04 : 24,171.08 = 4,429 : x
  2. Step 2: Convert to fraction form
    16,114.04/24,171.08 = 4,429/x
  3. Step 3: Cross multiply
    16,114.04x = 24,171.08 × 4,429
  4. Step 4: Simplify right side
    16,114.04x = 107,053,713.32
  5. Step 5: Solve for x
    x = 107,053,713.32/16,114.04
  6. Step 6: Final answer
    x = 6,643.51

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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.