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Finding the Fourth Proportional to 20,458.80, 30,688.20 and 16,570.80

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Solution

The fourth proportional to 20,458.80, 30,688.20 and 16,570.80 is: 24,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.80 : 30,688.20 = 16,570.80 : x
  2. Step 2: Convert to fraction form
    20,458.80/30,688.20 = 16,570.80/x
  3. Step 3: Cross multiply
    20,458.80x = 30,688.20 × 16,570.80
  4. Step 4: Simplify right side
    20,458.80x = 508,528,024.56
  5. Step 5: Solve for x
    x = 508,528,024.56/20,458.80
  6. Step 6: Final answer
    x = 24,856.20

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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.