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Finding the Fourth Proportional to 16,312.86, 24,459.57 and 7,540.56

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Solution

The fourth proportional to 16,312.86, 24,459.57 and 7,540.56 is: 11,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.86 : 24,459.57 = 7,540.56 : x
  2. Step 2: Convert to fraction form
    16,312.86/24,459.57 = 7,540.56/x
  3. Step 3: Cross multiply
    16,312.86x = 24,459.57 × 7,540.56
  4. Step 4: Simplify right side
    16,312.86x = 184,438,855.16
  5. Step 5: Solve for x
    x = 184,438,855.16/16,312.86
  6. Step 6: Final answer
    x = 11,306.35

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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.