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Finding the Fourth Proportional to 12,098.46, 18,140.13 and 6,897.18

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Solution

The fourth proportional to 12,098.46, 18,140.13 and 6,897.18 is: 10,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.46 : 18,140.13 = 6,897.18 : x
  2. Step 2: Convert to fraction form
    12,098.46/18,140.13 = 6,897.18/x
  3. Step 3: Cross multiply
    12,098.46x = 18,140.13 × 6,897.18
  4. Step 4: Simplify right side
    12,098.46x = 125,115,741.83
  5. Step 5: Solve for x
    x = 125,115,741.83/12,098.46
  6. Step 6: Final answer
    x = 10,341.46

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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.