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Finding the Fourth Proportional to 10,497.42, 15,622.28 and 10,147.50

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Solution

The fourth proportional to 10,497.42, 15,622.28 and 10,147.50 is: 15,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.42 : 15,622.28 = 10,147.50 : x
  2. Step 2: Convert to fraction form
    10,497.42/15,622.28 = 10,147.50/x
  3. Step 3: Cross multiply
    10,497.42x = 15,622.28 × 10,147.50
  4. Step 4: Simplify right side
    10,497.42x = 158,527,035.56
  5. Step 5: Solve for x
    x = 158,527,035.56/10,497.42
  6. Step 6: Final answer
    x = 15,101.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.