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Finding the Fourth Proportional to 21,677.16, 32,515.74 and 6,094.78

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Solution

The fourth proportional to 21,677.16, 32,515.74 and 6,094.78 is: 9,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.16 : 32,515.74 = 6,094.78 : x
  2. Step 2: Convert to fraction form
    21,677.16/32,515.74 = 6,094.78/x
  3. Step 3: Cross multiply
    21,677.16x = 32,515.74 × 6,094.78
  4. Step 4: Simplify right side
    21,677.16x = 198,176,299.63
  5. Step 5: Solve for x
    x = 198,176,299.63/21,677.16
  6. Step 6: Final answer
    x = 9,142.17

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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.