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Finding the Fourth Proportional to 25,712.38, 35,482.84 and 14,381.74

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Solution

The fourth proportional to 25,712.38, 35,482.84 and 14,381.74 is: 19,846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712.38 : 35,482.84 = 14,381.74 : x
  2. Step 2: Convert to fraction form
    25,712.38/35,482.84 = 14,381.74/x
  3. Step 3: Cross multiply
    25,712.38x = 35,482.84 × 14,381.74
  4. Step 4: Simplify right side
    25,712.38x = 510,304,979.34
  5. Step 5: Solve for x
    x = 510,304,979.34/25,712.38
  6. Step 6: Final answer
    x = 19,846.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.