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Finding the Fourth Proportional to 21,688.70, 32,534.18 and 6,107.54

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Solution

The fourth proportional to 21,688.70, 32,534.18 and 6,107.54 is: 9,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,688.70 : 32,534.18 = 6,107.54 : x
  2. Step 2: Convert to fraction form
    21,688.70/32,534.18 = 6,107.54/x
  3. Step 3: Cross multiply
    21,688.70x = 32,534.18 × 6,107.54
  4. Step 4: Simplify right side
    21,688.70x = 198,703,612.51
  5. Step 5: Solve for x
    x = 198,703,612.51/21,688.70
  6. Step 6: Final answer
    x = 9,161.62

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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.