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Finding the Fourth Proportional to 25,312.97, 34,932.82 and 14,702.07

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Solution

The fourth proportional to 25,312.97, 34,932.82 and 14,702.07 is: 20,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,312.97 : 34,932.82 = 14,702.07 : x
  2. Step 2: Convert to fraction form
    25,312.97/34,932.82 = 14,702.07/x
  3. Step 3: Cross multiply
    25,312.97x = 34,932.82 × 14,702.07
  4. Step 4: Simplify right side
    25,312.97x = 513,584,886.75
  5. Step 5: Solve for x
    x = 513,584,886.75/25,312.97
  6. Step 6: Final answer
    x = 20,289.39

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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.