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Finding the Fourth Proportional to 16,124.84, 24,191.43 and 6,129.78

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Solution

The fourth proportional to 16,124.84, 24,191.43 and 6,129.78 is: 9,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,124.84 : 24,191.43 = 6,129.78 : x
  2. Step 2: Convert to fraction form
    16,124.84/24,191.43 = 6,129.78/x
  3. Step 3: Cross multiply
    16,124.84x = 24,191.43 × 6,129.78
  4. Step 4: Simplify right side
    16,124.84x = 148,288,030.08
  5. Step 5: Solve for x
    x = 148,288,030.08/16,124.84
  6. Step 6: Final answer
    x = 9,196.25

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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.