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Finding the Fourth Proportional to 30,560.26, 45,841.20 and 9,783.76

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Solution

The fourth proportional to 30,560.26, 45,841.20 and 9,783.76 is: 14,675.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,560.26 : 45,841.20 = 9,783.76 : x
  2. Step 2: Convert to fraction form
    30,560.26/45,841.20 = 9,783.76/x
  3. Step 3: Cross multiply
    30,560.26x = 45,841.20 × 9,783.76
  4. Step 4: Simplify right side
    30,560.26x = 448,499,298.91
  5. Step 5: Solve for x
    x = 448,499,298.91/30,560.26
  6. Step 6: Final answer
    x = 14,675.90

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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.