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Finding the Fourth Proportional to 12,542.64, 17,308.58 and 6,953.64

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Solution

The fourth proportional to 12,542.64, 17,308.58 and 6,953.64 is: 9,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.64 : 17,308.58 = 6,953.64 : x
  2. Step 2: Convert to fraction form
    12,542.64/17,308.58 = 6,953.64/x
  3. Step 3: Cross multiply
    12,542.64x = 17,308.58 × 6,953.64
  4. Step 4: Simplify right side
    12,542.64x = 120,357,634.23
  5. Step 5: Solve for x
    x = 120,357,634.23/12,542.64
  6. Step 6: Final answer
    x = 9,595.88

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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.