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Finding the Fourth Proportional to 30,685.57, 42,345.68 and 17,256.82

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Solution

The fourth proportional to 30,685.57, 42,345.68 and 17,256.82 is: 23,814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,685.57 : 42,345.68 = 17,256.82 : x
  2. Step 2: Convert to fraction form
    30,685.57/42,345.68 = 17,256.82/x
  3. Step 3: Cross multiply
    30,685.57x = 42,345.68 × 17,256.82
  4. Step 4: Simplify right side
    30,685.57x = 730,751,479.53
  5. Step 5: Solve for x
    x = 730,751,479.53/30,685.57
  6. Step 6: Final answer
    x = 23,814.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.