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Finding the Fourth Proportional to 12,678.68, 17,494.62 and 7,088.60

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Solution

The fourth proportional to 12,678.68, 17,494.62 and 7,088.60 is: 9,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.68 : 17,494.62 = 7,088.60 : x
  2. Step 2: Convert to fraction form
    12,678.68/17,494.62 = 7,088.60/x
  3. Step 3: Cross multiply
    12,678.68x = 17,494.62 × 7,088.60
  4. Step 4: Simplify right side
    12,678.68x = 124,012,363.33
  5. Step 5: Solve for x
    x = 124,012,363.33/12,678.68
  6. Step 6: Final answer
    x = 9,781.17

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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.