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Finding the Fourth Proportional to 12,542.58, 17,308.95 and 6,877.84

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Solution

The fourth proportional to 12,542.58, 17,308.95 and 6,877.84 is: 9,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.58 : 17,308.95 = 6,877.84 : x
  2. Step 2: Convert to fraction form
    12,542.58/17,308.95 = 6,877.84/x
  3. Step 3: Cross multiply
    12,542.58x = 17,308.95 × 6,877.84
  4. Step 4: Simplify right side
    12,542.58x = 119,048,188.67
  5. Step 5: Solve for x
    x = 119,048,188.67/12,542.58
  6. Step 6: Final answer
    x = 9,491.52

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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.