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Finding the Fourth Proportional to 14,232.24, 19,638.68 and 7,944.88

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Solution

The fourth proportional to 14,232.24, 19,638.68 and 7,944.88 is: 10,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.24 : 19,638.68 = 7,944.88 : x
  2. Step 2: Convert to fraction form
    14,232.24/19,638.68 = 7,944.88/x
  3. Step 3: Cross multiply
    14,232.24x = 19,638.68 × 7,944.88
  4. Step 4: Simplify right side
    14,232.24x = 156,026,955.96
  5. Step 5: Solve for x
    x = 156,026,955.96/14,232.24
  6. Step 6: Final answer
    x = 10,962.92

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