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Finding the Fourth Proportional to 12,178.81, 16,781.65 and 9,346.06

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Solution

The fourth proportional to 12,178.81, 16,781.65 and 9,346.06 is: 12,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.81 : 16,781.65 = 9,346.06 : x
  2. Step 2: Convert to fraction form
    12,178.81/16,781.65 = 9,346.06/x
  3. Step 3: Cross multiply
    12,178.81x = 16,781.65 × 9,346.06
  4. Step 4: Simplify right side
    12,178.81x = 156,842,307.80
  5. Step 5: Solve for x
    x = 156,842,307.80/12,178.81
  6. Step 6: Final answer
    x = 12,878.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.