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Finding the Fourth Proportional to 20,752.68, 31,111.56 and 9,653.70

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Solution

The fourth proportional to 20,752.68, 31,111.56 and 9,653.70 is: 14,472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,752.68 : 31,111.56 = 9,653.70 : x
  2. Step 2: Convert to fraction form
    20,752.68/31,111.56 = 9,653.70/x
  3. Step 3: Cross multiply
    20,752.68x = 31,111.56 × 9,653.70
  4. Step 4: Simplify right side
    20,752.68x = 300,341,666.77
  5. Step 5: Solve for x
    x = 300,341,666.77/20,752.68
  6. Step 6: Final answer
    x = 14,472.43

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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.