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Finding the Fourth Proportional to 23,895.27, 32,971.86 and 13,821.71

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Solution

The fourth proportional to 23,895.27, 32,971.86 and 13,821.71 is: 19,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,895.27 : 32,971.86 = 13,821.71 : x
  2. Step 2: Convert to fraction form
    23,895.27/32,971.86 = 13,821.71/x
  3. Step 3: Cross multiply
    23,895.27x = 32,971.86 × 13,821.71
  4. Step 4: Simplify right side
    23,895.27x = 455,727,322.22
  5. Step 5: Solve for x
    x = 455,727,322.22/23,895.27
  6. Step 6: Final answer
    x = 19,071.86

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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.