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Finding the Fourth Proportional to 21,002.41, 31,506.81 and 7,148.17

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Solution

The fourth proportional to 21,002.41, 31,506.81 and 7,148.17 is: 10,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.41 : 31,506.81 = 7,148.17 : x
  2. Step 2: Convert to fraction form
    21,002.41/31,506.81 = 7,148.17/x
  3. Step 3: Cross multiply
    21,002.41x = 31,506.81 × 7,148.17
  4. Step 4: Simplify right side
    21,002.41x = 225,216,034.04
  5. Step 5: Solve for x
    x = 225,216,034.04/21,002.41
  6. Step 6: Final answer
    x = 10,723.34

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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.