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Finding the Fourth Proportional to 23,142.42, 34,719.03 and 7,560

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Solution

The fourth proportional to 23,142.42, 34,719.03 and 7,560 is: 11,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.42 : 34,719.03 = 7,560 : x
  2. Step 2: Convert to fraction form
    23,142.42/34,719.03 = 7,560/x
  3. Step 3: Cross multiply
    23,142.42x = 34,719.03 × 7,560
  4. Step 4: Simplify right side
    23,142.42x = 262,475,866.80
  5. Step 5: Solve for x
    x = 262,475,866.80/23,142.42
  6. Step 6: Final answer
    x = 11,341.76

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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.