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Finding the Fourth Proportional to 12,613.50, 17,407.80 and 7,024.50

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Solution

The fourth proportional to 12,613.50, 17,407.80 and 7,024.50 is: 9,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.50 : 17,407.80 = 7,024.50 : x
  2. Step 2: Convert to fraction form
    12,613.50/17,407.80 = 7,024.50/x
  3. Step 3: Cross multiply
    12,613.50x = 17,407.80 × 7,024.50
  4. Step 4: Simplify right side
    12,613.50x = 122,281,091.10
  5. Step 5: Solve for x
    x = 122,281,091.10/12,613.50
  6. Step 6: Final answer
    x = 9,694.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.