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Finding the Fourth Proportional to 12,281.84, 18,422.70 and 3,516.75

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Solution

The fourth proportional to 12,281.84, 18,422.70 and 3,516.75 is: 5,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.84 : 18,422.70 = 3,516.75 : x
  2. Step 2: Convert to fraction form
    12,281.84/18,422.70 = 3,516.75/x
  3. Step 3: Cross multiply
    12,281.84x = 18,422.70 × 3,516.75
  4. Step 4: Simplify right side
    12,281.84x = 64,788,030.23
  5. Step 5: Solve for x
    x = 64,788,030.23/12,281.84
  6. Step 6: Final answer
    x = 5,275.11

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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.