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Finding the Fourth Proportional to 12,557.46, 17,329.84 and 7,522.50

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Solution

The fourth proportional to 12,557.46, 17,329.84 and 7,522.50 is: 10,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.46 : 17,329.84 = 7,522.50 : x
  2. Step 2: Convert to fraction form
    12,557.46/17,329.84 = 7,522.50/x
  3. Step 3: Cross multiply
    12,557.46x = 17,329.84 × 7,522.50
  4. Step 4: Simplify right side
    12,557.46x = 130,363,702.59
  5. Step 5: Solve for x
    x = 130,363,702.59/12,557.46
  6. Step 6: Final answer
    x = 10,381.38

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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.