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Finding the Fourth Proportional to 12,373.14, 17,079.58 and 7,656.50

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Solution

The fourth proportional to 12,373.14, 17,079.58 and 7,656.50 is: 10,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,373.14 : 17,079.58 = 7,656.50 : x
  2. Step 2: Convert to fraction form
    12,373.14/17,079.58 = 7,656.50/x
  3. Step 3: Cross multiply
    12,373.14x = 17,079.58 × 7,656.50
  4. Step 4: Simplify right side
    12,373.14x = 130,769,804.27
  5. Step 5: Solve for x
    x = 130,769,804.27/12,373.14
  6. Step 6: Final answer
    x = 10,568.85

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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.