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Finding the Fourth Proportional to 20,716.47, 31,068.53 and 7,387.11

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Solution

The fourth proportional to 20,716.47, 31,068.53 and 7,387.11 is: 11,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,716.47 : 31,068.53 = 7,387.11 : x
  2. Step 2: Convert to fraction form
    20,716.47/31,068.53 = 7,387.11/x
  3. Step 3: Cross multiply
    20,716.47x = 31,068.53 × 7,387.11
  4. Step 4: Simplify right side
    20,716.47x = 229,506,639.41
  5. Step 5: Solve for x
    x = 229,506,639.41/20,716.47
  6. Step 6: Final answer
    x = 11,078.46

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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.