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Finding the Fourth Proportional to 23,804.79, 35,712.18 and 9,013.38

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Solution

The fourth proportional to 23,804.79, 35,712.18 and 9,013.38 is: 13,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.79 : 35,712.18 = 9,013.38 : x
  2. Step 2: Convert to fraction form
    23,804.79/35,712.18 = 9,013.38/x
  3. Step 3: Cross multiply
    23,804.79x = 35,712.18 × 9,013.38
  4. Step 4: Simplify right side
    23,804.79x = 321,887,448.97
  5. Step 5: Solve for x
    x = 321,887,448.97/23,804.79
  6. Step 6: Final answer
    x = 13,521.96

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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.