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Finding the Fourth Proportional to 12,559.66, 18,839.49 and 9,788.40

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Solution

The fourth proportional to 12,559.66, 18,839.49 and 9,788.40 is: 14,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,559.66 : 18,839.49 = 9,788.40 : x
  2. Step 2: Convert to fraction form
    12,559.66/18,839.49 = 9,788.40/x
  3. Step 3: Cross multiply
    12,559.66x = 18,839.49 × 9,788.40
  4. Step 4: Simplify right side
    12,559.66x = 184,408,497.86
  5. Step 5: Solve for x
    x = 184,408,497.86/12,559.66
  6. Step 6: Final answer
    x = 14,682.60

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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.