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Finding the Fourth Proportional to 12,461.60, 18,685.20 and 4,671.20

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Solution

The fourth proportional to 12,461.60, 18,685.20 and 4,671.20 is: 7,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.60 : 18,685.20 = 4,671.20 : x
  2. Step 2: Convert to fraction form
    12,461.60/18,685.20 = 4,671.20/x
  3. Step 3: Cross multiply
    12,461.60x = 18,685.20 × 4,671.20
  4. Step 4: Simplify right side
    12,461.60x = 87,282,306.24
  5. Step 5: Solve for x
    x = 87,282,306.24/12,461.60
  6. Step 6: Final answer
    x = 7,004.10

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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.