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Finding the Fourth Proportional to 14,754.32, 22,111.32 and 7,814.96

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Solution

The fourth proportional to 14,754.32, 22,111.32 and 7,814.96 is: 11,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,754.32 : 22,111.32 = 7,814.96 : x
  2. Step 2: Convert to fraction form
    14,754.32/22,111.32 = 7,814.96/x
  3. Step 3: Cross multiply
    14,754.32x = 22,111.32 × 7,814.96
  4. Step 4: Simplify right side
    14,754.32x = 172,799,081.35
  5. Step 5: Solve for x
    x = 172,799,081.35/14,754.32
  6. Step 6: Final answer
    x = 11,711.76

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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.