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Finding the Fourth Proportional to 12,754.32, 19,133.45 and 6,510.95

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Solution

The fourth proportional to 12,754.32, 19,133.45 and 6,510.95 is: 9,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.32 : 19,133.45 = 6,510.95 : x
  2. Step 2: Convert to fraction form
    12,754.32/19,133.45 = 6,510.95/x
  3. Step 3: Cross multiply
    12,754.32x = 19,133.45 × 6,510.95
  4. Step 4: Simplify right side
    12,754.32x = 124,576,856.89
  5. Step 5: Solve for x
    x = 124,576,856.89/12,754.32
  6. Step 6: Final answer
    x = 9,767.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.