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Finding the Fourth Proportional to 25,669.50, 38,521.53 and 9,253.50

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Solution

The fourth proportional to 25,669.50, 38,521.53 and 9,253.50 is: 13,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,669.50 : 38,521.53 = 9,253.50 : x
  2. Step 2: Convert to fraction form
    25,669.50/38,521.53 = 9,253.50/x
  3. Step 3: Cross multiply
    25,669.50x = 38,521.53 × 9,253.50
  4. Step 4: Simplify right side
    25,669.50x = 356,458,977.86
  5. Step 5: Solve for x
    x = 356,458,977.86/25,669.50
  6. Step 6: Final answer
    x = 13,886.48

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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.