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Finding the Fourth Proportional to 12,178.96, 16,802.07 and 7,397.12

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Solution

The fourth proportional to 12,178.96, 16,802.07 and 7,397.12 is: 10,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.96 : 16,802.07 = 7,397.12 : x
  2. Step 2: Convert to fraction form
    12,178.96/16,802.07 = 7,397.12/x
  3. Step 3: Cross multiply
    12,178.96x = 16,802.07 × 7,397.12
  4. Step 4: Simplify right side
    12,178.96x = 124,286,928.04
  5. Step 5: Solve for x
    x = 124,286,928.04/12,178.96
  6. Step 6: Final answer
    x = 10,205.05

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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.