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Finding the Fourth Proportional to 12,972.65, 17,902.28 and 7,522.77

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Solution

The fourth proportional to 12,972.65, 17,902.28 and 7,522.77 is: 10,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.65 : 17,902.28 = 7,522.77 : x
  2. Step 2: Convert to fraction form
    12,972.65/17,902.28 = 7,522.77/x
  3. Step 3: Cross multiply
    12,972.65x = 17,902.28 × 7,522.77
  4. Step 4: Simplify right side
    12,972.65x = 134,674,753.72
  5. Step 5: Solve for x
    x = 134,674,753.72/12,972.65
  6. Step 6: Final answer
    x = 10,381.44

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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.