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Finding the Fourth Proportional to 20,688, 31,051.43 and 10,834.35

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Solution

The fourth proportional to 20,688, 31,051.43 and 10,834.35 is: 16,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,688 : 31,051.43 = 10,834.35 : x
  2. Step 2: Convert to fraction form
    20,688/31,051.43 = 10,834.35/x
  3. Step 3: Cross multiply
    20,688x = 31,051.43 × 10,834.35
  4. Step 4: Simplify right side
    20,688x = 336,422,006.45
  5. Step 5: Solve for x
    x = 336,422,006.45/20,688
  6. Step 6: Final answer
    x = 16,261.70

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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.