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Finding the Fourth Proportional to 23,540.34, 35,315.95 and 6,901.66

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Solution

The fourth proportional to 23,540.34, 35,315.95 and 6,901.66 is: 10,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,540.34 : 35,315.95 = 6,901.66 : x
  2. Step 2: Convert to fraction form
    23,540.34/35,315.95 = 6,901.66/x
  3. Step 3: Cross multiply
    23,540.34x = 35,315.95 × 6,901.66
  4. Step 4: Simplify right side
    23,540.34x = 243,738,679.48
  5. Step 5: Solve for x
    x = 243,738,679.48/23,540.34
  6. Step 6: Final answer
    x = 10,354.08

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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.