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Finding the Fourth Proportional to 30,404.66, 41,947.35 and 17,826.98

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Solution

The fourth proportional to 30,404.66, 41,947.35 and 17,826.98 is: 24,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,404.66 : 41,947.35 = 17,826.98 : x
  2. Step 2: Convert to fraction form
    30,404.66/41,947.35 = 17,826.98/x
  3. Step 3: Cross multiply
    30,404.66x = 41,947.35 × 17,826.98
  4. Step 4: Simplify right side
    30,404.66x = 747,794,569.50
  5. Step 5: Solve for x
    x = 747,794,569.50/30,404.66
  6. Step 6: Final answer
    x = 24,594.74

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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.