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Finding the Fourth Proportional to 23,807.54, 35,713.98 and 9,767.00

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Solution

The fourth proportional to 23,807.54, 35,713.98 and 9,767.00 is: 14,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.54 : 35,713.98 = 9,767.00 : x
  2. Step 2: Convert to fraction form
    23,807.54/35,713.98 = 9,767.00/x
  3. Step 3: Cross multiply
    23,807.54x = 35,713.98 × 9,767.00
  4. Step 4: Simplify right side
    23,807.54x = 348,818,531.94
  5. Step 5: Solve for x
    x = 348,818,531.94/23,807.54
  6. Step 6: Final answer
    x = 14,651.60

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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.