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Finding the Fourth Proportional to 30,827.67, 42,542.06 and 17,398.89

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Solution

The fourth proportional to 30,827.67, 42,542.06 and 17,398.89 is: 24,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827.67 : 42,542.06 = 17,398.89 : x
  2. Step 2: Convert to fraction form
    30,827.67/42,542.06 = 17,398.89/x
  3. Step 3: Cross multiply
    30,827.67x = 42,542.06 × 17,398.89
  4. Step 4: Simplify right side
    30,827.67x = 740,184,535.32
  5. Step 5: Solve for x
    x = 740,184,535.32/30,827.67
  6. Step 6: Final answer
    x = 24,010.40

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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.