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Finding the Fourth Proportional to 23,826.54, 32,881.50 and 14,393.28

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Solution

The fourth proportional to 23,826.54, 32,881.50 and 14,393.28 is: 19,863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826.54 : 32,881.50 = 14,393.28 : x
  2. Step 2: Convert to fraction form
    23,826.54/32,881.50 = 14,393.28/x
  3. Step 3: Cross multiply
    23,826.54x = 32,881.50 × 14,393.28
  4. Step 4: Simplify right side
    23,826.54x = 473,272,636.32
  5. Step 5: Solve for x
    x = 473,272,636.32/23,826.54
  6. Step 6: Final answer
    x = 19,863.25

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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.