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Finding the Fourth Proportional to 21,675.84, 32,518.08 and 6,094.08

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Solution

The fourth proportional to 21,675.84, 32,518.08 and 6,094.08 is: 9,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.84 : 32,518.08 = 6,094.08 : x
  2. Step 2: Convert to fraction form
    21,675.84/32,518.08 = 6,094.08/x
  3. Step 3: Cross multiply
    21,675.84x = 32,518.08 × 6,094.08
  4. Step 4: Simplify right side
    21,675.84x = 198,167,780.97
  5. Step 5: Solve for x
    x = 198,167,780.97/21,675.84
  6. Step 6: Final answer
    x = 9,142.33

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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.