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Finding the Fourth Proportional to 12,332.60, 18,513.30 and 7,071.80

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Solution

The fourth proportional to 12,332.60, 18,513.30 and 7,071.80 is: 10,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.60 : 18,513.30 = 7,071.80 : x
  2. Step 2: Convert to fraction form
    12,332.60/18,513.30 = 7,071.80/x
  3. Step 3: Cross multiply
    12,332.60x = 18,513.30 × 7,071.80
  4. Step 4: Simplify right side
    12,332.60x = 130,922,354.94
  5. Step 5: Solve for x
    x = 130,922,354.94/12,332.60
  6. Step 6: Final answer
    x = 10,615.96

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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.