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Finding the Fourth Proportional to 25,465, 35,141.70 and 14,286.76

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Solution

The fourth proportional to 25,465, 35,141.70 and 14,286.76 is: 19,715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465 : 35,141.70 = 14,286.76 : x
  2. Step 2: Convert to fraction form
    25,465/35,141.70 = 14,286.76/x
  3. Step 3: Cross multiply
    25,465x = 35,141.70 × 14,286.76
  4. Step 4: Simplify right side
    25,465x = 502,061,033.89
  5. Step 5: Solve for x
    x = 502,061,033.89/25,465
  6. Step 6: Final answer
    x = 19,715.73

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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.