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Finding the Fourth Proportional to 23,677.74, 35,523.72 and 7,038.36

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Solution

The fourth proportional to 23,677.74, 35,523.72 and 7,038.36 is: 10,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.74 : 35,523.72 = 7,038.36 : x
  2. Step 2: Convert to fraction form
    23,677.74/35,523.72 = 7,038.36/x
  3. Step 3: Cross multiply
    23,677.74x = 35,523.72 × 7,038.36
  4. Step 4: Simplify right side
    23,677.74x = 250,028,729.90
  5. Step 5: Solve for x
    x = 250,028,729.90/23,677.74
  6. Step 6: Final answer
    x = 10,559.65

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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.