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Finding the Fourth Proportional to 25,878.76, 35,711.46 and 14,700.52

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Solution

The fourth proportional to 25,878.76, 35,711.46 and 14,700.52 is: 20,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.76 : 35,711.46 = 14,700.52 : x
  2. Step 2: Convert to fraction form
    25,878.76/35,711.46 = 14,700.52/x
  3. Step 3: Cross multiply
    25,878.76x = 35,711.46 × 14,700.52
  4. Step 4: Simplify right side
    25,878.76x = 524,977,031.96
  5. Step 5: Solve for x
    x = 524,977,031.96/25,878.76
  6. Step 6: Final answer
    x = 20,286.02

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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.