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Finding the Fourth Proportional to 23,617.77, 35,432.75 and 6,977.13

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Solution

The fourth proportional to 23,617.77, 35,432.75 and 6,977.13 is: 10,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,617.77 : 35,432.75 = 6,977.13 : x
  2. Step 2: Convert to fraction form
    23,617.77/35,432.75 = 6,977.13/x
  3. Step 3: Cross multiply
    23,617.77x = 35,432.75 × 6,977.13
  4. Step 4: Simplify right side
    23,617.77x = 247,218,903.01
  5. Step 5: Solve for x
    x = 247,218,903.01/23,617.77
  6. Step 6: Final answer
    x = 10,467.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.