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Finding the Fourth Proportional to 19,823.88, 29,750.78 and 7,351.48

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Solution

The fourth proportional to 19,823.88, 29,750.78 and 7,351.48 is: 11,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.88 : 29,750.78 = 7,351.48 : x
  2. Step 2: Convert to fraction form
    19,823.88/29,750.78 = 7,351.48/x
  3. Step 3: Cross multiply
    19,823.88x = 29,750.78 × 7,351.48
  4. Step 4: Simplify right side
    19,823.88x = 218,712,264.15
  5. Step 5: Solve for x
    x = 218,712,264.15/19,823.88
  6. Step 6: Final answer
    x = 11,032.77

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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.