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Finding the Fourth Proportional to 20,264.48, 30,398.18 and 7,784.50

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Solution

The fourth proportional to 20,264.48, 30,398.18 and 7,784.50 is: 11,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264.48 : 30,398.18 = 7,784.50 : x
  2. Step 2: Convert to fraction form
    20,264.48/30,398.18 = 7,784.50/x
  3. Step 3: Cross multiply
    20,264.48x = 30,398.18 × 7,784.50
  4. Step 4: Simplify right side
    20,264.48x = 236,634,632.21
  5. Step 5: Solve for x
    x = 236,634,632.21/20,264.48
  6. Step 6: Final answer
    x = 11,677.31

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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.