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Finding the Fourth Proportional to 16,386.70, 24,543.60 and 8,586.40

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Solution

The fourth proportional to 16,386.70, 24,543.60 and 8,586.40 is: 12,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.70 : 24,543.60 = 8,586.40 : x
  2. Step 2: Convert to fraction form
    16,386.70/24,543.60 = 8,586.40/x
  3. Step 3: Cross multiply
    16,386.70x = 24,543.60 × 8,586.40
  4. Step 4: Simplify right side
    16,386.70x = 210,741,167.04
  5. Step 5: Solve for x
    x = 210,741,167.04/16,386.70
  6. Step 6: Final answer
    x = 12,860.50

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Why These Related Problems?

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