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Finding the Fourth Proportional to 12,591.36, 18,897.84 and 6,014.16

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Solution

The fourth proportional to 12,591.36, 18,897.84 and 6,014.16 is: 9,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.36 : 18,897.84 = 6,014.16 : x
  2. Step 2: Convert to fraction form
    12,591.36/18,897.84 = 6,014.16/x
  3. Step 3: Cross multiply
    12,591.36x = 18,897.84 × 6,014.16
  4. Step 4: Simplify right side
    12,591.36x = 113,654,633.41
  5. Step 5: Solve for x
    x = 113,654,633.41/12,591.36
  6. Step 6: Final answer
    x = 9,026.40

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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.