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Finding the Fourth Proportional to 16,133.04, 24,184.98 and 5,737.50

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Solution

The fourth proportional to 16,133.04, 24,184.98 and 5,737.50 is: 8,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.04 : 24,184.98 = 5,737.50 : x
  2. Step 2: Convert to fraction form
    16,133.04/24,184.98 = 5,737.50/x
  3. Step 3: Cross multiply
    16,133.04x = 24,184.98 × 5,737.50
  4. Step 4: Simplify right side
    16,133.04x = 138,761,322.75
  5. Step 5: Solve for x
    x = 138,761,322.75/16,133.04
  6. Step 6: Final answer
    x = 8,601.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.