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Finding the Fourth Proportional to 16,176.26, 24,264.32 and 6,316.53

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Solution

The fourth proportional to 16,176.26, 24,264.32 and 6,316.53 is: 9,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.26 : 24,264.32 = 6,316.53 : x
  2. Step 2: Convert to fraction form
    16,176.26/24,264.32 = 6,316.53/x
  3. Step 3: Cross multiply
    16,176.26x = 24,264.32 × 6,316.53
  4. Step 4: Simplify right side
    16,176.26x = 153,266,273.63
  5. Step 5: Solve for x
    x = 153,266,273.63/16,176.26
  6. Step 6: Final answer
    x = 9,474.77

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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.