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Finding the Fourth Proportional to 23,901.07, 32,974 and 13,827.64

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Solution

The fourth proportional to 23,901.07, 32,974 and 13,827.64 is: 19,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,901.07 : 32,974 = 13,827.64 : x
  2. Step 2: Convert to fraction form
    23,901.07/32,974 = 13,827.64/x
  3. Step 3: Cross multiply
    23,901.07x = 32,974 × 13,827.64
  4. Step 4: Simplify right side
    23,901.07x = 455,952,601.36
  5. Step 5: Solve for x
    x = 455,952,601.36/23,901.07
  6. Step 6: Final answer
    x = 19,076.66

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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.