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Finding the Fourth Proportional to 13,552, 20,327.94 and 4,784.80

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Solution

The fourth proportional to 13,552, 20,327.94 and 4,784.80 is: 7,177.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552 : 20,327.94 = 4,784.80 : x
  2. Step 2: Convert to fraction form
    13,552/20,327.94 = 4,784.80/x
  3. Step 3: Cross multiply
    13,552x = 20,327.94 × 4,784.80
  4. Step 4: Simplify right side
    13,552x = 97,265,127.31
  5. Step 5: Solve for x
    x = 97,265,127.31/13,552
  6. Step 6: Final answer
    x = 7,177.18

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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.