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Finding the Fourth Proportional to 23,807.52, 35,706.15 and 9,764.01

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Solution

The fourth proportional to 23,807.52, 35,706.15 and 9,764.01 is: 14,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.52 : 35,706.15 = 9,764.01 : x
  2. Step 2: Convert to fraction form
    23,807.52/35,706.15 = 9,764.01/x
  3. Step 3: Cross multiply
    23,807.52x = 35,706.15 × 9,764.01
  4. Step 4: Simplify right side
    23,807.52x = 348,635,205.66
  5. Step 5: Solve for x
    x = 348,635,205.66/23,807.52
  6. Step 6: Final answer
    x = 14,643.91

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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.