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Finding the Fourth Proportional to 14,642.65, 21,950.97 and 5,871.61

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Solution

The fourth proportional to 14,642.65, 21,950.97 and 5,871.61 is: 8,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.65 : 21,950.97 = 5,871.61 : x
  2. Step 2: Convert to fraction form
    14,642.65/21,950.97 = 5,871.61/x
  3. Step 3: Cross multiply
    14,642.65x = 21,950.97 × 5,871.61
  4. Step 4: Simplify right side
    14,642.65x = 128,887,534.96
  5. Step 5: Solve for x
    x = 128,887,534.96/14,642.65
  6. Step 6: Final answer
    x = 8,802.20

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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.