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Finding the Fourth Proportional to 12,497.84, 17,248.20 and 7,195.76

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Solution

The fourth proportional to 12,497.84, 17,248.20 and 7,195.76 is: 9,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.84 : 17,248.20 = 7,195.76 : x
  2. Step 2: Convert to fraction form
    12,497.84/17,248.20 = 7,195.76/x
  3. Step 3: Cross multiply
    12,497.84x = 17,248.20 × 7,195.76
  4. Step 4: Simplify right side
    12,497.84x = 124,113,907.63
  5. Step 5: Solve for x
    x = 124,113,907.63/12,497.84
  6. Step 6: Final answer
    x = 9,930.83

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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.