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Finding the Fourth Proportional to 13,034.84, 17,987.28 and 7,656.48

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Solution

The fourth proportional to 13,034.84, 17,987.28 and 7,656.48 is: 10,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.84 : 17,987.28 = 7,656.48 : x
  2. Step 2: Convert to fraction form
    13,034.84/17,987.28 = 7,656.48/x
  3. Step 3: Cross multiply
    13,034.84x = 17,987.28 × 7,656.48
  4. Step 4: Simplify right side
    13,034.84x = 137,719,249.57
  5. Step 5: Solve for x
    x = 137,719,249.57/13,034.84
  6. Step 6: Final answer
    x = 10,565.47

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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.