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Finding the Fourth Proportional to 12,652.32, 17,460.10 and 6,987.43

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Solution

The fourth proportional to 12,652.32, 17,460.10 and 6,987.43 is: 9,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.32 : 17,460.10 = 6,987.43 : x
  2. Step 2: Convert to fraction form
    12,652.32/17,460.10 = 6,987.43/x
  3. Step 3: Cross multiply
    12,652.32x = 17,460.10 × 6,987.43
  4. Step 4: Simplify right side
    12,652.32x = 122,001,226.54
  5. Step 5: Solve for x
    x = 122,001,226.54/12,652.32
  6. Step 6: Final answer
    x = 9,642.60

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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.