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Finding the Fourth Proportional to 20,835, 28,752.32 and 11,403.80

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Solution

The fourth proportional to 20,835, 28,752.32 and 11,403.80 is: 15,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,835 : 28,752.32 = 11,403.80 : x
  2. Step 2: Convert to fraction form
    20,835/28,752.32 = 11,403.80/x
  3. Step 3: Cross multiply
    20,835x = 28,752.32 × 11,403.80
  4. Step 4: Simplify right side
    20,835x = 327,885,706.82
  5. Step 5: Solve for x
    x = 327,885,706.82/20,835
  6. Step 6: Final answer
    x = 15,737.25

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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.