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Finding the Fourth Proportional to 19,135.34, 28,676.28 and 9,272

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Solution

The fourth proportional to 19,135.34, 28,676.28 and 9,272 is: 13,895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,135.34 : 28,676.28 = 9,272 : x
  2. Step 2: Convert to fraction form
    19,135.34/28,676.28 = 9,272/x
  3. Step 3: Cross multiply
    19,135.34x = 28,676.28 × 9,272
  4. Step 4: Simplify right side
    19,135.34x = 265,886,468.16
  5. Step 5: Solve for x
    x = 265,886,468.16/19,135.34
  6. Step 6: Final answer
    x = 13,895.05

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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.