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Finding the Fourth Proportional to 17,016.48, 25,524.72 and 7,776

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Solution

The fourth proportional to 17,016.48, 25,524.72 and 7,776 is: 11,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,016.48 : 25,524.72 = 7,776 : x
  2. Step 2: Convert to fraction form
    17,016.48/25,524.72 = 7,776/x
  3. Step 3: Cross multiply
    17,016.48x = 25,524.72 × 7,776
  4. Step 4: Simplify right side
    17,016.48x = 198,480,222.72
  5. Step 5: Solve for x
    x = 198,480,222.72/17,016.48
  6. Step 6: Final answer
    x = 11,664

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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.