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Finding the Fourth Proportional to 21,066.38, 31,597.84 and 6,275.30

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Solution

The fourth proportional to 21,066.38, 31,597.84 and 6,275.30 is: 9,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,066.38 : 31,597.84 = 6,275.30 : x
  2. Step 2: Convert to fraction form
    21,066.38/31,597.84 = 6,275.30/x
  3. Step 3: Cross multiply
    21,066.38x = 31,597.84 × 6,275.30
  4. Step 4: Simplify right side
    21,066.38x = 198,285,925.35
  5. Step 5: Solve for x
    x = 198,285,925.35/21,066.38
  6. Step 6: Final answer
    x = 9,412.43

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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.