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Finding the Fourth Proportional to 26,667.52, 39,989.76 and 10,240

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Solution

The fourth proportional to 26,667.52, 39,989.76 and 10,240 is: 15,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,667.52 : 39,989.76 = 10,240 : x
  2. Step 2: Convert to fraction form
    26,667.52/39,989.76 = 10,240/x
  3. Step 3: Cross multiply
    26,667.52x = 39,989.76 × 10,240
  4. Step 4: Simplify right side
    26,667.52x = 409,495,142.40
  5. Step 5: Solve for x
    x = 409,495,142.40/26,667.52
  6. Step 6: Final answer
    x = 15,355.58

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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.