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Finding the Fourth Proportional to 12,504.62, 18,829.76 and 9,240.50

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Solution

The fourth proportional to 12,504.62, 18,829.76 and 9,240.50 is: 13,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.62 : 18,829.76 = 9,240.50 : x
  2. Step 2: Convert to fraction form
    12,504.62/18,829.76 = 9,240.50/x
  3. Step 3: Cross multiply
    12,504.62x = 18,829.76 × 9,240.50
  4. Step 4: Simplify right side
    12,504.62x = 173,996,397.28
  5. Step 5: Solve for x
    x = 173,996,397.28/12,504.62
  6. Step 6: Final answer
    x = 13,914.57

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