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Finding the Fourth Proportional to 23,203.84, 34,804.04 and 7,408.24

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Solution

The fourth proportional to 23,203.84, 34,804.04 and 7,408.24 is: 11,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.84 : 34,804.04 = 7,408.24 : x
  2. Step 2: Convert to fraction form
    23,203.84/34,804.04 = 7,408.24/x
  3. Step 3: Cross multiply
    23,203.84x = 34,804.04 × 7,408.24
  4. Step 4: Simplify right side
    23,203.84x = 257,836,681.29
  5. Step 5: Solve for x
    x = 257,836,681.29/23,203.84
  6. Step 6: Final answer
    x = 11,111.81

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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.