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Finding the Fourth Proportional to 25,701.72, 35,467.02 and 14,523

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Solution

The fourth proportional to 25,701.72, 35,467.02 and 14,523 is: 20,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,701.72 : 35,467.02 = 14,523 : x
  2. Step 2: Convert to fraction form
    25,701.72/35,467.02 = 14,523/x
  3. Step 3: Cross multiply
    25,701.72x = 35,467.02 × 14,523
  4. Step 4: Simplify right side
    25,701.72x = 515,087,531.46
  5. Step 5: Solve for x
    x = 515,087,531.46/25,701.72
  6. Step 6: Final answer
    x = 20,040.98

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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.