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Finding the Fourth Proportional to 14,591.01, 21,886.98 and 5,706

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Solution

The fourth proportional to 14,591.01, 21,886.98 and 5,706 is: 8,559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.01 : 21,886.98 = 5,706 : x
  2. Step 2: Convert to fraction form
    14,591.01/21,886.98 = 5,706/x
  3. Step 3: Cross multiply
    14,591.01x = 21,886.98 × 5,706
  4. Step 4: Simplify right side
    14,591.01x = 124,887,107.88
  5. Step 5: Solve for x
    x = 124,887,107.88/14,591.01
  6. Step 6: Final answer
    x = 8,559.18

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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.