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Finding the Fourth Proportional to 23,828.58, 32,877.90 and 13,753.80

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Solution

The fourth proportional to 23,828.58, 32,877.90 and 13,753.80 is: 18,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.58 : 32,877.90 = 13,753.80 : x
  2. Step 2: Convert to fraction form
    23,828.58/32,877.90 = 13,753.80/x
  3. Step 3: Cross multiply
    23,828.58x = 32,877.90 × 13,753.80
  4. Step 4: Simplify right side
    23,828.58x = 452,196,061.02
  5. Step 5: Solve for x
    x = 452,196,061.02/23,828.58
  6. Step 6: Final answer
    x = 18,977.05

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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.