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Finding the Fourth Proportional to 20,752.74, 31,128.12 and 9,655.47

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Solution

The fourth proportional to 20,752.74, 31,128.12 and 9,655.47 is: 14,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,752.74 : 31,128.12 = 9,655.47 : x
  2. Step 2: Convert to fraction form
    20,752.74/31,128.12 = 9,655.47/x
  3. Step 3: Cross multiply
    20,752.74x = 31,128.12 × 9,655.47
  4. Step 4: Simplify right side
    20,752.74x = 300,556,628.82
  5. Step 5: Solve for x
    x = 300,556,628.82/20,752.74
  6. Step 6: Final answer
    x = 14,482.74

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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.