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Finding the Fourth Proportional to 23,505.66, 32,437.53 and 13,438.17

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Solution

The fourth proportional to 23,505.66, 32,437.53 and 13,438.17 is: 18,544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.66 : 32,437.53 = 13,438.17 : x
  2. Step 2: Convert to fraction form
    23,505.66/32,437.53 = 13,438.17/x
  3. Step 3: Cross multiply
    23,505.66x = 32,437.53 × 13,438.17
  4. Step 4: Simplify right side
    23,505.66x = 435,901,042.52
  5. Step 5: Solve for x
    x = 435,901,042.52/23,505.66
  6. Step 6: Final answer
    x = 18,544.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.