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Finding the Fourth Proportional to 15,407.57, 23,092.78 and 7,076.09

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Solution

The fourth proportional to 15,407.57, 23,092.78 and 7,076.09 is: 10,605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407.57 : 23,092.78 = 7,076.09 : x
  2. Step 2: Convert to fraction form
    15,407.57/23,092.78 = 7,076.09/x
  3. Step 3: Cross multiply
    15,407.57x = 23,092.78 × 7,076.09
  4. Step 4: Simplify right side
    15,407.57x = 163,406,589.63
  5. Step 5: Solve for x
    x = 163,406,589.63/15,407.57
  6. Step 6: Final answer
    x = 10,605.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.