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Finding the Fourth Proportional to 23,349.38, 32,222.14 and 14,965.88

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Solution

The fourth proportional to 23,349.38, 32,222.14 and 14,965.88 is: 20,652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,349.38 : 32,222.14 = 14,965.88 : x
  2. Step 2: Convert to fraction form
    23,349.38/32,222.14 = 14,965.88/x
  3. Step 3: Cross multiply
    23,349.38x = 32,222.14 × 14,965.88
  4. Step 4: Simplify right side
    23,349.38x = 482,232,482.06
  5. Step 5: Solve for x
    x = 482,232,482.06/23,349.38
  6. Step 6: Final answer
    x = 20,652.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.