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Finding the Fourth Proportional to 13,502.42, 20,244.84 and 5,602.76

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Solution

The fourth proportional to 13,502.42, 20,244.84 and 5,602.76 is: 8,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.42 : 20,244.84 = 5,602.76 : x
  2. Step 2: Convert to fraction form
    13,502.42/20,244.84 = 5,602.76/x
  3. Step 3: Cross multiply
    13,502.42x = 20,244.84 × 5,602.76
  4. Step 4: Simplify right side
    13,502.42x = 113,426,979.76
  5. Step 5: Solve for x
    x = 113,426,979.76/13,502.42
  6. Step 6: Final answer
    x = 8,400.49

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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.