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Finding the Fourth Proportional to 12,985.68, 19,452.88 and 8,589.84

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Solution

The fourth proportional to 12,985.68, 19,452.88 and 8,589.84 is: 12,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.68 : 19,452.88 = 8,589.84 : x
  2. Step 2: Convert to fraction form
    12,985.68/19,452.88 = 8,589.84/x
  3. Step 3: Cross multiply
    12,985.68x = 19,452.88 × 8,589.84
  4. Step 4: Simplify right side
    12,985.68x = 167,097,126.74
  5. Step 5: Solve for x
    x = 167,097,126.74/12,985.68
  6. Step 6: Final answer
    x = 12,867.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.