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Finding the Fourth Proportional to 19,688.96, 29,522.48 and 7,988.52

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Solution

The fourth proportional to 19,688.96, 29,522.48 and 7,988.52 is: 11,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.96 : 29,522.48 = 7,988.52 : x
  2. Step 2: Convert to fraction form
    19,688.96/29,522.48 = 7,988.52/x
  3. Step 3: Cross multiply
    19,688.96x = 29,522.48 × 7,988.52
  4. Step 4: Simplify right side
    19,688.96x = 235,840,921.93
  5. Step 5: Solve for x
    x = 235,840,921.93/19,688.96
  6. Step 6: Final answer
    x = 11,978.33

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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.