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Finding the Fourth Proportional to 12,586.40, 18,954.52 and 10,962.55

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Solution

The fourth proportional to 12,586.40, 18,954.52 and 10,962.55 is: 16,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.40 : 18,954.52 = 10,962.55 : x
  2. Step 2: Convert to fraction form
    12,586.40/18,954.52 = 10,962.55/x
  3. Step 3: Cross multiply
    12,586.40x = 18,954.52 × 10,962.55
  4. Step 4: Simplify right side
    12,586.40x = 207,789,818.41
  5. Step 5: Solve for x
    x = 207,789,818.41/12,586.40
  6. Step 6: Final answer
    x = 16,509.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.