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Finding the Fourth Proportional to 24,784, 34,202.24 and 13,606.40

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Solution

The fourth proportional to 24,784, 34,202.24 and 13,606.40 is: 18,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784 : 34,202.24 = 13,606.40 : x
  2. Step 2: Convert to fraction form
    24,784/34,202.24 = 13,606.40/x
  3. Step 3: Cross multiply
    24,784x = 34,202.24 × 13,606.40
  4. Step 4: Simplify right side
    24,784x = 465,369,358.34
  5. Step 5: Solve for x
    x = 465,369,358.34/24,784
  6. Step 6: Final answer
    x = 18,777.01

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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.