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Finding the Fourth Proportional to 23,828.88, 32,888.52 and 13,763.82

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Solution

The fourth proportional to 23,828.88, 32,888.52 and 13,763.82 is: 18,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.88 : 32,888.52 = 13,763.82 : x
  2. Step 2: Convert to fraction form
    23,828.88/32,888.52 = 13,763.82/x
  3. Step 3: Cross multiply
    23,828.88x = 32,888.52 × 13,763.82
  4. Step 4: Simplify right side
    23,828.88x = 452,671,669.35
  5. Step 5: Solve for x
    x = 452,671,669.35/23,828.88
  6. Step 6: Final answer
    x = 18,996.77

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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.