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Finding the Fourth Proportional to 12,920.19, 17,829.80 and 7,255.02

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Solution

The fourth proportional to 12,920.19, 17,829.80 and 7,255.02 is: 10,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.19 : 17,829.80 = 7,255.02 : x
  2. Step 2: Convert to fraction form
    12,920.19/17,829.80 = 7,255.02/x
  3. Step 3: Cross multiply
    12,920.19x = 17,829.80 × 7,255.02
  4. Step 4: Simplify right side
    12,920.19x = 129,355,519.32
  5. Step 5: Solve for x
    x = 129,355,519.32/12,920.19
  6. Step 6: Final answer
    x = 10,011.89

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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.