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Finding the Fourth Proportional to 23,667.40, 35,506.14 and 7,027.48

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Solution

The fourth proportional to 23,667.40, 35,506.14 and 7,027.48 is: 10,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,667.40 : 35,506.14 = 7,027.48 : x
  2. Step 2: Convert to fraction form
    23,667.40/35,506.14 = 7,027.48/x
  3. Step 3: Cross multiply
    23,667.40x = 35,506.14 × 7,027.48
  4. Step 4: Simplify right side
    23,667.40x = 249,518,688.73
  5. Step 5: Solve for x
    x = 249,518,688.73/23,667.40
  6. Step 6: Final answer
    x = 10,542.72

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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.