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Finding the Fourth Proportional to 12,300.80, 18,462.72 and 6,461.60

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Solution

The fourth proportional to 12,300.80, 18,462.72 and 6,461.60 is: 9,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300.80 : 18,462.72 = 6,461.60 : x
  2. Step 2: Convert to fraction form
    12,300.80/18,462.72 = 6,461.60/x
  3. Step 3: Cross multiply
    12,300.80x = 18,462.72 × 6,461.60
  4. Step 4: Simplify right side
    12,300.80x = 119,298,711.55
  5. Step 5: Solve for x
    x = 119,298,711.55/12,300.80
  6. Step 6: Final answer
    x = 9,698.45

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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.