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Finding the Fourth Proportional to 25,877.84, 35,711.56 and 14,700.24

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Solution

The fourth proportional to 25,877.84, 35,711.56 and 14,700.24 is: 20,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,877.84 : 35,711.56 = 14,700.24 : x
  2. Step 2: Convert to fraction form
    25,877.84/35,711.56 = 14,700.24/x
  3. Step 3: Cross multiply
    25,877.84x = 35,711.56 × 14,700.24
  4. Step 4: Simplify right side
    25,877.84x = 524,968,502.77
  5. Step 5: Solve for x
    x = 524,968,502.77/25,877.84
  6. Step 6: Final answer
    x = 20,286.41

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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.