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Finding the Fourth Proportional to 21,873.64, 32,827.20 and 11,352.28

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Solution

The fourth proportional to 21,873.64, 32,827.20 and 11,352.28 is: 17,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.64 : 32,827.20 = 11,352.28 : x
  2. Step 2: Convert to fraction form
    21,873.64/32,827.20 = 11,352.28/x
  3. Step 3: Cross multiply
    21,873.64x = 32,827.20 × 11,352.28
  4. Step 4: Simplify right side
    21,873.64x = 372,663,566.02
  5. Step 5: Solve for x
    x = 372,663,566.02/21,873.64
  6. Step 6: Final answer
    x = 17,037.11

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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.