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Finding the Fourth Proportional to 15,140.32, 22,708.76 and 4,047.98

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Solution

The fourth proportional to 15,140.32, 22,708.76 and 4,047.98 is: 6,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.32 : 22,708.76 = 4,047.98 : x
  2. Step 2: Convert to fraction form
    15,140.32/22,708.76 = 4,047.98/x
  3. Step 3: Cross multiply
    15,140.32x = 22,708.76 × 4,047.98
  4. Step 4: Simplify right side
    15,140.32x = 91,924,472.52
  5. Step 5: Solve for x
    x = 91,924,472.52/15,140.32
  6. Step 6: Final answer
    x = 6,071.50

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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.