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Finding the Fourth Proportional to 28,565.64, 42,822.22 and 9,841.22

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Solution

The fourth proportional to 28,565.64, 42,822.22 and 9,841.22 is: 14,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,565.64 : 42,822.22 = 9,841.22 : x
  2. Step 2: Convert to fraction form
    28,565.64/42,822.22 = 9,841.22/x
  3. Step 3: Cross multiply
    28,565.64x = 42,822.22 × 9,841.22
  4. Step 4: Simplify right side
    28,565.64x = 421,422,970.36
  5. Step 5: Solve for x
    x = 421,422,970.36/28,565.64
  6. Step 6: Final answer
    x = 14,752.79

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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.