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Finding the Fourth Proportional to 23,807.32, 35,712.66 and 6,277

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Solution

The fourth proportional to 23,807.32, 35,712.66 and 6,277 is: 9,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.32 : 35,712.66 = 6,277 : x
  2. Step 2: Convert to fraction form
    23,807.32/35,712.66 = 6,277/x
  3. Step 3: Cross multiply
    23,807.32x = 35,712.66 × 6,277
  4. Step 4: Simplify right side
    23,807.32x = 224,168,366.82
  5. Step 5: Solve for x
    x = 224,168,366.82/23,807.32
  6. Step 6: Final answer
    x = 9,415.94

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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.