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Finding the Fourth Proportional to 34,463.66, 51,695.33 and 12,277.85

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Solution

The fourth proportional to 34,463.66, 51,695.33 and 12,277.85 is: 18,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,463.66 : 51,695.33 = 12,277.85 : x
  2. Step 2: Convert to fraction form
    34,463.66/51,695.33 = 12,277.85/x
  3. Step 3: Cross multiply
    34,463.66x = 51,695.33 × 12,277.85
  4. Step 4: Simplify right side
    34,463.66x = 634,707,575.29
  5. Step 5: Solve for x
    x = 634,707,575.29/34,463.66
  6. Step 6: Final answer
    x = 18,416.72

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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.