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Finding the Fourth Proportional to 23,463.76, 35,206.08 and 8,669.20

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Solution

The fourth proportional to 23,463.76, 35,206.08 and 8,669.20 is: 13,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,463.76 : 35,206.08 = 8,669.20 : x
  2. Step 2: Convert to fraction form
    23,463.76/35,206.08 = 8,669.20/x
  3. Step 3: Cross multiply
    23,463.76x = 35,206.08 × 8,669.20
  4. Step 4: Simplify right side
    23,463.76x = 305,208,548.74
  5. Step 5: Solve for x
    x = 305,208,548.74/23,463.76
  6. Step 6: Final answer
    x = 13,007.66

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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.