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Finding the Fourth Proportional to 12,974.28, 17,904.54 and 7,595.74

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Solution

The fourth proportional to 12,974.28, 17,904.54 and 7,595.74 is: 10,482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.28 : 17,904.54 = 7,595.74 : x
  2. Step 2: Convert to fraction form
    12,974.28/17,904.54 = 7,595.74/x
  3. Step 3: Cross multiply
    12,974.28x = 17,904.54 × 7,595.74
  4. Step 4: Simplify right side
    12,974.28x = 135,998,230.66
  5. Step 5: Solve for x
    x = 135,998,230.66/12,974.28
  6. Step 6: Final answer
    x = 10,482.14

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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.