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Finding the Fourth Proportional to 12,482.62, 17,228.96 and 7,180.50

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Solution

The fourth proportional to 12,482.62, 17,228.96 and 7,180.50 is: 9,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,482.62 : 17,228.96 = 7,180.50 : x
  2. Step 2: Convert to fraction form
    12,482.62/17,228.96 = 7,180.50/x
  3. Step 3: Cross multiply
    12,482.62x = 17,228.96 × 7,180.50
  4. Step 4: Simplify right side
    12,482.62x = 123,712,547.28
  5. Step 5: Solve for x
    x = 123,712,547.28/12,482.62
  6. Step 6: Final answer
    x = 9,910.78

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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.