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Finding the Fourth Proportional to 20,298.84, 28,031.52 and 19,194.42

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Solution

The fourth proportional to 20,298.84, 28,031.52 and 19,194.42 is: 26,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.84 : 28,031.52 = 19,194.42 : x
  2. Step 2: Convert to fraction form
    20,298.84/28,031.52 = 19,194.42/x
  3. Step 3: Cross multiply
    20,298.84x = 28,031.52 × 19,194.42
  4. Step 4: Simplify right side
    20,298.84x = 538,048,768.12
  5. Step 5: Solve for x
    x = 538,048,768.12/20,298.84
  6. Step 6: Final answer
    x = 26,506.38

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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.