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Finding the Fourth Proportional to 23,774.16, 35,661.21 and 7,134.17

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Solution

The fourth proportional to 23,774.16, 35,661.21 and 7,134.17 is: 10,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.16 : 35,661.21 = 7,134.17 : x
  2. Step 2: Convert to fraction form
    23,774.16/35,661.21 = 7,134.17/x
  3. Step 3: Cross multiply
    23,774.16x = 35,661.21 × 7,134.17
  4. Step 4: Simplify right side
    23,774.16x = 254,413,045.39
  5. Step 5: Solve for x
    x = 254,413,045.39/23,774.16
  6. Step 6: Final answer
    x = 10,701.24

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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.