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Finding the Fourth Proportional to 30,586.35, 42,209.19 and 17,848.29

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Solution

The fourth proportional to 30,586.35, 42,209.19 and 17,848.29 is: 24,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,586.35 : 42,209.19 = 17,848.29 : x
  2. Step 2: Convert to fraction form
    30,586.35/42,209.19 = 17,848.29/x
  3. Step 3: Cross multiply
    30,586.35x = 42,209.19 × 17,848.29
  4. Step 4: Simplify right side
    30,586.35x = 753,361,863.79
  5. Step 5: Solve for x
    x = 753,361,863.79/30,586.35
  6. Step 6: Final answer
    x = 24,630.66

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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.