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Finding the Fourth Proportional to 10,424.20, 15,597.42 and 10,307.56

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Solution

The fourth proportional to 10,424.20, 15,597.42 and 10,307.56 is: 15,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.20 : 15,597.42 = 10,307.56 : x
  2. Step 2: Convert to fraction form
    10,424.20/15,597.42 = 10,307.56/x
  3. Step 3: Cross multiply
    10,424.20x = 15,597.42 × 10,307.56
  4. Step 4: Simplify right side
    10,424.20x = 160,771,342.50
  5. Step 5: Solve for x
    x = 160,771,342.50/10,424.20
  6. Step 6: Final answer
    x = 15,422.90

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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.