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Finding the Fourth Proportional to 25,524.72, 38,287.08 and 11,664

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Solution

The fourth proportional to 25,524.72, 38,287.08 and 11,664 is: 17,496

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524.72 : 38,287.08 = 11,664 : x
  2. Step 2: Convert to fraction form
    25,524.72/38,287.08 = 11,664/x
  3. Step 3: Cross multiply
    25,524.72x = 38,287.08 × 11,664
  4. Step 4: Simplify right side
    25,524.72x = 446,580,501.12
  5. Step 5: Solve for x
    x = 446,580,501.12/25,524.72
  6. Step 6: Final answer
    x = 17,496

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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.