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Finding the Fourth Proportional to 20,675.84, 31,017.60 and 9,575.20

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Solution

The fourth proportional to 20,675.84, 31,017.60 and 9,575.20 is: 14,364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,675.84 : 31,017.60 = 9,575.20 : x
  2. Step 2: Convert to fraction form
    20,675.84/31,017.60 = 9,575.20/x
  3. Step 3: Cross multiply
    20,675.84x = 31,017.60 × 9,575.20
  4. Step 4: Simplify right side
    20,675.84x = 296,999,723.52
  5. Step 5: Solve for x
    x = 296,999,723.52/20,675.84
  6. Step 6: Final answer
    x = 14,364.58

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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.