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Finding the Fourth Proportional to 23,807.78, 32,853.54 and 13,197.32

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Solution

The fourth proportional to 23,807.78, 32,853.54 and 13,197.32 is: 18,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.78 : 32,853.54 = 13,197.32 : x
  2. Step 2: Convert to fraction form
    23,807.78/32,853.54 = 13,197.32/x
  3. Step 3: Cross multiply
    23,807.78x = 32,853.54 × 13,197.32
  4. Step 4: Simplify right side
    23,807.78x = 433,578,680.51
  5. Step 5: Solve for x
    x = 433,578,680.51/23,807.78
  6. Step 6: Final answer
    x = 18,211.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.