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Finding the Fourth Proportional to 20,700.47, 31,047.54 and 7,552.86

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Solution

The fourth proportional to 20,700.47, 31,047.54 and 7,552.86 is: 11,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,700.47 : 31,047.54 = 7,552.86 : x
  2. Step 2: Convert to fraction form
    20,700.47/31,047.54 = 7,552.86/x
  3. Step 3: Cross multiply
    20,700.47x = 31,047.54 × 7,552.86
  4. Step 4: Simplify right side
    20,700.47x = 234,497,722.96
  5. Step 5: Solve for x
    x = 234,497,722.96/20,700.47
  6. Step 6: Final answer
    x = 11,328.14

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