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Finding the Fourth Proportional to 22,483.54, 33,699.05 and 16,919

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Solution

The fourth proportional to 22,483.54, 33,699.05 and 16,919 is: 25,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483.54 : 33,699.05 = 16,919 : x
  2. Step 2: Convert to fraction form
    22,483.54/33,699.05 = 16,919/x
  3. Step 3: Cross multiply
    22,483.54x = 33,699.05 × 16,919
  4. Step 4: Simplify right side
    22,483.54x = 570,154,226.95
  5. Step 5: Solve for x
    x = 570,154,226.95/22,483.54
  6. Step 6: Final answer
    x = 25,358.74

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Why These Related Problems?

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