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Finding the Fourth Proportional to 16,184.71, 24,278.40 and 4,497.93

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Solution

The fourth proportional to 16,184.71, 24,278.40 and 4,497.93 is: 6,747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.71 : 24,278.40 = 4,497.93 : x
  2. Step 2: Convert to fraction form
    16,184.71/24,278.40 = 4,497.93/x
  3. Step 3: Cross multiply
    16,184.71x = 24,278.40 × 4,497.93
  4. Step 4: Simplify right side
    16,184.71x = 109,202,543.71
  5. Step 5: Solve for x
    x = 109,202,543.71/16,184.71
  6. Step 6: Final answer
    x = 6,747.27

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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.