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Finding the Fourth Proportional to 14,314.92, 21,476.84 and 6,424

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Solution

The fourth proportional to 14,314.92, 21,476.84 and 6,424 is: 9,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.92 : 21,476.84 = 6,424 : x
  2. Step 2: Convert to fraction form
    14,314.92/21,476.84 = 6,424/x
  3. Step 3: Cross multiply
    14,314.92x = 21,476.84 × 6,424
  4. Step 4: Simplify right side
    14,314.92x = 137,967,220.16
  5. Step 5: Solve for x
    x = 137,967,220.16/14,314.92
  6. Step 6: Final answer
    x = 9,638.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.