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Finding the Fourth Proportional to 12,679.74, 17,510.58 and 10,449

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Solution

The fourth proportional to 12,679.74, 17,510.58 and 10,449 is: 14,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.74 : 17,510.58 = 10,449 : x
  2. Step 2: Convert to fraction form
    12,679.74/17,510.58 = 10,449/x
  3. Step 3: Cross multiply
    12,679.74x = 17,510.58 × 10,449
  4. Step 4: Simplify right side
    12,679.74x = 182,968,050.42
  5. Step 5: Solve for x
    x = 182,968,050.42/12,679.74
  6. Step 6: Final answer
    x = 14,429.95

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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.