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Finding the Fourth Proportional to 15,298.16, 22,892.50 and 11,988.52

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Solution

The fourth proportional to 15,298.16, 22,892.50 and 11,988.52 is: 17,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,298.16 : 22,892.50 = 11,988.52 : x
  2. Step 2: Convert to fraction form
    15,298.16/22,892.50 = 11,988.52/x
  3. Step 3: Cross multiply
    15,298.16x = 22,892.50 × 11,988.52
  4. Step 4: Simplify right side
    15,298.16x = 274,447,194.10
  5. Step 5: Solve for x
    x = 274,447,194.10/15,298.16
  6. Step 6: Final answer
    x = 17,939.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.