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Finding the Fourth Proportional to 24,388, 33,660.32 and 13,777.76

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Solution

The fourth proportional to 24,388, 33,660.32 and 13,777.76 is: 19,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,388 : 33,660.32 = 13,777.76 : x
  2. Step 2: Convert to fraction form
    24,388/33,660.32 = 13,777.76/x
  3. Step 3: Cross multiply
    24,388x = 33,660.32 × 13,777.76
  4. Step 4: Simplify right side
    24,388x = 463,763,810.48
  5. Step 5: Solve for x
    x = 463,763,810.48/24,388
  6. Step 6: Final answer
    x = 19,016.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.