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Finding the Fourth Proportional to 15,117.80, 22,676.70 and 9,577.40

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Solution

The fourth proportional to 15,117.80, 22,676.70 and 9,577.40 is: 14,366.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,117.80 : 22,676.70 = 9,577.40 : x
  2. Step 2: Convert to fraction form
    15,117.80/22,676.70 = 9,577.40/x
  3. Step 3: Cross multiply
    15,117.80x = 22,676.70 × 9,577.40
  4. Step 4: Simplify right side
    15,117.80x = 217,183,826.58
  5. Step 5: Solve for x
    x = 217,183,826.58/15,117.80
  6. Step 6: Final answer
    x = 14,366.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.