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Finding the Fourth Proportional to 21,085.68, 31,630.68 and 9,397.92

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Solution

The fourth proportional to 21,085.68, 31,630.68 and 9,397.92 is: 14,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.68 : 31,630.68 = 9,397.92 : x
  2. Step 2: Convert to fraction form
    21,085.68/31,630.68 = 9,397.92/x
  3. Step 3: Cross multiply
    21,085.68x = 31,630.68 × 9,397.92
  4. Step 4: Simplify right side
    21,085.68x = 297,262,600.19
  5. Step 5: Solve for x
    x = 297,262,600.19/21,085.68
  6. Step 6: Final answer
    x = 14,097.84

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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.