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Finding the Fourth Proportional to 19,922.68, 29,875.38 and 6,771.52

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Solution

The fourth proportional to 19,922.68, 29,875.38 and 6,771.52 is: 10,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.68 : 29,875.38 = 6,771.52 : x
  2. Step 2: Convert to fraction form
    19,922.68/29,875.38 = 6,771.52/x
  3. Step 3: Cross multiply
    19,922.68x = 29,875.38 × 6,771.52
  4. Step 4: Simplify right side
    19,922.68x = 202,301,733.18
  5. Step 5: Solve for x
    x = 202,301,733.18/19,922.68
  6. Step 6: Final answer
    x = 10,154.34

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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.