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Finding the Fourth Proportional to 16,253.74, 24,381.46 and 4,567.86

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Solution

The fourth proportional to 16,253.74, 24,381.46 and 4,567.86 is: 6,852.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.74 : 24,381.46 = 4,567.86 : x
  2. Step 2: Convert to fraction form
    16,253.74/24,381.46 = 4,567.86/x
  3. Step 3: Cross multiply
    16,253.74x = 24,381.46 × 4,567.86
  4. Step 4: Simplify right side
    16,253.74x = 111,371,095.88
  5. Step 5: Solve for x
    x = 111,371,095.88/16,253.74
  6. Step 6: Final answer
    x = 6,852.03

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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.