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Finding the Fourth Proportional to 23,667.36, 35,497.86 and 7,029.12

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Solution

The fourth proportional to 23,667.36, 35,497.86 and 7,029.12 is: 10,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,667.36 : 35,497.86 = 7,029.12 : x
  2. Step 2: Convert to fraction form
    23,667.36/35,497.86 = 7,029.12/x
  3. Step 3: Cross multiply
    23,667.36x = 35,497.86 × 7,029.12
  4. Step 4: Simplify right side
    23,667.36x = 249,518,717.68
  5. Step 5: Solve for x
    x = 249,518,717.68/23,667.36
  6. Step 6: Final answer
    x = 10,542.74

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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.