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Finding the Fourth Proportional to 14,302.43, 21,462.05 and 5,981.77

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Solution

The fourth proportional to 14,302.43, 21,462.05 and 5,981.77 is: 8,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.43 : 21,462.05 = 5,981.77 : x
  2. Step 2: Convert to fraction form
    14,302.43/21,462.05 = 5,981.77/x
  3. Step 3: Cross multiply
    14,302.43x = 21,462.05 × 5,981.77
  4. Step 4: Simplify right side
    14,302.43x = 128,381,046.83
  5. Step 5: Solve for x
    x = 128,381,046.83/14,302.43
  6. Step 6: Final answer
    x = 8,976.17

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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.