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Finding the Fourth Proportional to 20,559.10, 30,838.65 and 7,411.90

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Solution

The fourth proportional to 20,559.10, 30,838.65 and 7,411.90 is: 11,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,559.10 : 30,838.65 = 7,411.90 : x
  2. Step 2: Convert to fraction form
    20,559.10/30,838.65 = 7,411.90/x
  3. Step 3: Cross multiply
    20,559.10x = 30,838.65 × 7,411.90
  4. Step 4: Simplify right side
    20,559.10x = 228,572,989.94
  5. Step 5: Solve for x
    x = 228,572,989.94/20,559.10
  6. Step 6: Final answer
    x = 11,117.85

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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.