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Finding the Fourth Proportional to 13,311.74, 19,967.16 and 5,411.91

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Solution

The fourth proportional to 13,311.74, 19,967.16 and 5,411.91 is: 8,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311.74 : 19,967.16 = 5,411.91 : x
  2. Step 2: Convert to fraction form
    13,311.74/19,967.16 = 5,411.91/x
  3. Step 3: Cross multiply
    13,311.74x = 19,967.16 × 5,411.91
  4. Step 4: Simplify right side
    13,311.74x = 108,060,537.61
  5. Step 5: Solve for x
    x = 108,060,537.61/13,311.74
  6. Step 6: Final answer
    x = 8,117.69

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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.