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Finding the Fourth Proportional to 19,835.68, 29,754.23 and 6,688.17

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Solution

The fourth proportional to 19,835.68, 29,754.23 and 6,688.17 is: 10,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,835.68 : 29,754.23 = 6,688.17 : x
  2. Step 2: Convert to fraction form
    19,835.68/29,754.23 = 6,688.17/x
  3. Step 3: Cross multiply
    19,835.68x = 29,754.23 × 6,688.17
  4. Step 4: Simplify right side
    19,835.68x = 199,001,166.25
  5. Step 5: Solve for x
    x = 199,001,166.25/19,835.68
  6. Step 6: Final answer
    x = 10,032.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.