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Finding the Fourth Proportional to 24,318, 33,558.54 and 13,707.72

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Solution

The fourth proportional to 24,318, 33,558.54 and 13,707.72 is: 18,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,318 : 33,558.54 = 13,707.72 : x
  2. Step 2: Convert to fraction form
    24,318/33,558.54 = 13,707.72/x
  3. Step 3: Cross multiply
    24,318x = 33,558.54 × 13,707.72
  4. Step 4: Simplify right side
    24,318x = 460,011,069.93
  5. Step 5: Solve for x
    x = 460,011,069.93/24,318
  6. Step 6: Final answer
    x = 18,916.48

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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.