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Finding the Fourth Proportional to 14,505.72, 21,758.78 and 4,117.47

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Solution

The fourth proportional to 14,505.72, 21,758.78 and 4,117.47 is: 6,176.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,505.72 : 21,758.78 = 4,117.47 : x
  2. Step 2: Convert to fraction form
    14,505.72/21,758.78 = 4,117.47/x
  3. Step 3: Cross multiply
    14,505.72x = 21,758.78 × 4,117.47
  4. Step 4: Simplify right side
    14,505.72x = 89,591,123.89
  5. Step 5: Solve for x
    x = 89,591,123.89/14,505.72
  6. Step 6: Final answer
    x = 6,176.26

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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.