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Finding the Fourth Proportional to 23,818.83, 35,725.71 and 9,780.33

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Solution

The fourth proportional to 23,818.83, 35,725.71 and 9,780.33 is: 14,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.83 : 35,725.71 = 9,780.33 : x
  2. Step 2: Convert to fraction form
    23,818.83/35,725.71 = 9,780.33/x
  3. Step 3: Cross multiply
    23,818.83x = 35,725.71 × 9,780.33
  4. Step 4: Simplify right side
    23,818.83x = 349,409,233.28
  5. Step 5: Solve for x
    x = 349,409,233.28/23,818.83
  6. Step 6: Final answer
    x = 14,669.45

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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.