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Finding the Fourth Proportional to 12,312.49, 18,439.30 and 7,102.57

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Solution

The fourth proportional to 12,312.49, 18,439.30 and 7,102.57 is: 10,636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.49 : 18,439.30 = 7,102.57 : x
  2. Step 2: Convert to fraction form
    12,312.49/18,439.30 = 7,102.57/x
  3. Step 3: Cross multiply
    12,312.49x = 18,439.30 × 7,102.57
  4. Step 4: Simplify right side
    12,312.49x = 130,966,419.00
  5. Step 5: Solve for x
    x = 130,966,419.00/12,312.49
  6. Step 6: Final answer
    x = 10,636.88

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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.