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Finding the Fourth Proportional to 12,792.90, 17,654.69 and 7,415.51

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Solution

The fourth proportional to 12,792.90, 17,654.69 and 7,415.51 is: 10,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.90 : 17,654.69 = 7,415.51 : x
  2. Step 2: Convert to fraction form
    12,792.90/17,654.69 = 7,415.51/x
  3. Step 3: Cross multiply
    12,792.90x = 17,654.69 × 7,415.51
  4. Step 4: Simplify right side
    12,792.90x = 130,918,518.10
  5. Step 5: Solve for x
    x = 130,918,518.10/12,792.90
  6. Step 6: Final answer
    x = 10,233.69

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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.