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Finding the Fourth Proportional to 15,524.61, 23,288.43 and 5,661.57

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Solution

The fourth proportional to 15,524.61, 23,288.43 and 5,661.57 is: 8,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524.61 : 23,288.43 = 5,661.57 : x
  2. Step 2: Convert to fraction form
    15,524.61/23,288.43 = 5,661.57/x
  3. Step 3: Cross multiply
    15,524.61x = 23,288.43 × 5,661.57
  4. Step 4: Simplify right side
    15,524.61x = 131,849,076.64
  5. Step 5: Solve for x
    x = 131,849,076.64/15,524.61
  6. Step 6: Final answer
    x = 8,492.91

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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.