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Finding the Fourth Proportional to 16,158.66, 24,233.28 and 6,295.74

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Solution

The fourth proportional to 16,158.66, 24,233.28 and 6,295.74 is: 9,441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,158.66 : 24,233.28 = 6,295.74 : x
  2. Step 2: Convert to fraction form
    16,158.66/24,233.28 = 6,295.74/x
  3. Step 3: Cross multiply
    16,158.66x = 24,233.28 × 6,295.74
  4. Step 4: Simplify right side
    16,158.66x = 152,566,430.23
  5. Step 5: Solve for x
    x = 152,566,430.23/16,158.66
  6. Step 6: Final answer
    x = 9,441.77

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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.