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Finding the Fourth Proportional to 22,520.48, 33,780.80 and 13,280

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Solution

The fourth proportional to 22,520.48, 33,780.80 and 13,280 is: 19,920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.48 : 33,780.80 = 13,280 : x
  2. Step 2: Convert to fraction form
    22,520.48/33,780.80 = 13,280/x
  3. Step 3: Cross multiply
    22,520.48x = 33,780.80 × 13,280
  4. Step 4: Simplify right side
    22,520.48x = 448,609,024.00
  5. Step 5: Solve for x
    x = 448,609,024.00/22,520.48
  6. Step 6: Final answer
    x = 19,920.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.