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Finding the Fourth Proportional to 30,646.10, 42,287 and 17,214.78

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Solution

The fourth proportional to 30,646.10, 42,287 and 17,214.78 is: 23,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.10 : 42,287 = 17,214.78 : x
  2. Step 2: Convert to fraction form
    30,646.10/42,287 = 17,214.78/x
  3. Step 3: Cross multiply
    30,646.10x = 42,287 × 17,214.78
  4. Step 4: Simplify right side
    30,646.10x = 727,961,401.86
  5. Step 5: Solve for x
    x = 727,961,401.86/30,646.10
  6. Step 6: Final answer
    x = 23,753.80

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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.