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Finding the Fourth Proportional to 15,538.63, 21,443.46 and 8,824.40

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Solution

The fourth proportional to 15,538.63, 21,443.46 and 8,824.40 is: 12,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.63 : 21,443.46 = 8,824.40 : x
  2. Step 2: Convert to fraction form
    15,538.63/21,443.46 = 8,824.40/x
  3. Step 3: Cross multiply
    15,538.63x = 21,443.46 × 8,824.40
  4. Step 4: Simplify right side
    15,538.63x = 189,225,668.42
  5. Step 5: Solve for x
    x = 189,225,668.42/15,538.63
  6. Step 6: Final answer
    x = 12,177.76

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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.