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Finding the Fourth Proportional to 23,667.12, 35,506.14 and 7,026.78

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Solution

The fourth proportional to 23,667.12, 35,506.14 and 7,026.78 is: 10,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,667.12 : 35,506.14 = 7,026.78 : x
  2. Step 2: Convert to fraction form
    23,667.12/35,506.14 = 7,026.78/x
  3. Step 3: Cross multiply
    23,667.12x = 35,506.14 × 7,026.78
  4. Step 4: Simplify right side
    23,667.12x = 249,493,834.43
  5. Step 5: Solve for x
    x = 249,493,834.43/23,667.12
  6. Step 6: Final answer
    x = 10,541.79

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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.