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Finding the Fourth Proportional to 28,226.39, 42,342.52 and 9,508.50

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Solution

The fourth proportional to 28,226.39, 42,342.52 and 9,508.50 is: 14,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,226.39 : 42,342.52 = 9,508.50 : x
  2. Step 2: Convert to fraction form
    28,226.39/42,342.52 = 9,508.50/x
  3. Step 3: Cross multiply
    28,226.39x = 42,342.52 × 9,508.50
  4. Step 4: Simplify right side
    28,226.39x = 402,613,851.42
  5. Step 5: Solve for x
    x = 402,613,851.42/28,226.39
  6. Step 6: Final answer
    x = 14,263.74

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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.