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Finding the Fourth Proportional to 12,535.46, 18,803.71 and 10,340.10

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Solution

The fourth proportional to 12,535.46, 18,803.71 and 10,340.10 is: 15,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.46 : 18,803.71 = 10,340.10 : x
  2. Step 2: Convert to fraction form
    12,535.46/18,803.71 = 10,340.10/x
  3. Step 3: Cross multiply
    12,535.46x = 18,803.71 × 10,340.10
  4. Step 4: Simplify right side
    12,535.46x = 194,432,241.77
  5. Step 5: Solve for x
    x = 194,432,241.77/12,535.46
  6. Step 6: Final answer
    x = 15,510.58

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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.