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Finding the Fourth Proportional to 23,494.54, 35,242.53 and 6,854.17

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Solution

The fourth proportional to 23,494.54, 35,242.53 and 6,854.17 is: 10,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494.54 : 35,242.53 = 6,854.17 : x
  2. Step 2: Convert to fraction form
    23,494.54/35,242.53 = 6,854.17/x
  3. Step 3: Cross multiply
    23,494.54x = 35,242.53 × 6,854.17
  4. Step 4: Simplify right side
    23,494.54x = 241,558,291.85
  5. Step 5: Solve for x
    x = 241,558,291.85/23,494.54
  6. Step 6: Final answer
    x = 10,281.47

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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.