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Finding the Fourth Proportional to 21,866.80, 32,792.14 and 7,823.02

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Solution

The fourth proportional to 21,866.80, 32,792.14 and 7,823.02 is: 11,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.80 : 32,792.14 = 7,823.02 : x
  2. Step 2: Convert to fraction form
    21,866.80/32,792.14 = 7,823.02/x
  3. Step 3: Cross multiply
    21,866.80x = 32,792.14 × 7,823.02
  4. Step 4: Simplify right side
    21,866.80x = 256,533,567.06
  5. Step 5: Solve for x
    x = 256,533,567.06/21,866.80
  6. Step 6: Final answer
    x = 11,731.65

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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.