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Finding the Fourth Proportional to 12,557.76, 17,329.68 and 7,252.44

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Solution

The fourth proportional to 12,557.76, 17,329.68 and 7,252.44 is: 10,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.76 : 17,329.68 = 7,252.44 : x
  2. Step 2: Convert to fraction form
    12,557.76/17,329.68 = 7,252.44/x
  3. Step 3: Cross multiply
    12,557.76x = 17,329.68 × 7,252.44
  4. Step 4: Simplify right side
    12,557.76x = 125,682,464.42
  5. Step 5: Solve for x
    x = 125,682,464.42/12,557.76
  6. Step 6: Final answer
    x = 10,008.35

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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.