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Finding the Fourth Proportional to 23,888.40, 35,834.22 and 6,357.84

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Solution

The fourth proportional to 23,888.40, 35,834.22 and 6,357.84 is: 9,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,888.40 : 35,834.22 = 6,357.84 : x
  2. Step 2: Convert to fraction form
    23,888.40/35,834.22 = 6,357.84/x
  3. Step 3: Cross multiply
    23,888.40x = 35,834.22 × 6,357.84
  4. Step 4: Simplify right side
    23,888.40x = 227,828,237.28
  5. Step 5: Solve for x
    x = 227,828,237.28/23,888.40
  6. Step 6: Final answer
    x = 9,537.19

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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.