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Finding the Fourth Proportional to 12,196.70, 18,316.65 and 9,430.10

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Solution

The fourth proportional to 12,196.70, 18,316.65 and 9,430.10 is: 14,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.70 : 18,316.65 = 9,430.10 : x
  2. Step 2: Convert to fraction form
    12,196.70/18,316.65 = 9,430.10/x
  3. Step 3: Cross multiply
    12,196.70x = 18,316.65 × 9,430.10
  4. Step 4: Simplify right side
    12,196.70x = 172,727,841.17
  5. Step 5: Solve for x
    x = 172,727,841.17/12,196.70
  6. Step 6: Final answer
    x = 14,161.85

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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.