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Finding the Fourth Proportional to 15,019.64, 22,550 and 9,456.56

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Solution

The fourth proportional to 15,019.64, 22,550 and 9,456.56 is: 14,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,019.64 : 22,550 = 9,456.56 : x
  2. Step 2: Convert to fraction form
    15,019.64/22,550 = 9,456.56/x
  3. Step 3: Cross multiply
    15,019.64x = 22,550 × 9,456.56
  4. Step 4: Simplify right side
    15,019.64x = 213,245,428
  5. Step 5: Solve for x
    x = 213,245,428/15,019.64
  6. Step 6: Final answer
    x = 14,197.77

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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.