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Finding the Fourth Proportional to 15,262.57, 21,064.44 and 9,213.13

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Solution

The fourth proportional to 15,262.57, 21,064.44 and 9,213.13 is: 12,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,262.57 : 21,064.44 = 9,213.13 : x
  2. Step 2: Convert to fraction form
    15,262.57/21,064.44 = 9,213.13/x
  3. Step 3: Cross multiply
    15,262.57x = 21,064.44 × 9,213.13
  4. Step 4: Simplify right side
    15,262.57x = 194,069,424.10
  5. Step 5: Solve for x
    x = 194,069,424.10/15,262.57
  6. Step 6: Final answer
    x = 12,715.38

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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.