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Finding the Fourth Proportional to 23,527.71, 35,294.69 and 12,434.85

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Solution

The fourth proportional to 23,527.71, 35,294.69 and 12,434.85 is: 18,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.71 : 35,294.69 = 12,434.85 : x
  2. Step 2: Convert to fraction form
    23,527.71/35,294.69 = 12,434.85/x
  3. Step 3: Cross multiply
    23,527.71x = 35,294.69 × 12,434.85
  4. Step 4: Simplify right side
    23,527.71x = 438,884,175.95
  5. Step 5: Solve for x
    x = 438,884,175.95/23,527.71
  6. Step 6: Final answer
    x = 18,653.93

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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.