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Finding the Fourth Proportional to 21,886.47, 32,810.27 and 8,032.23

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Solution

The fourth proportional to 21,886.47, 32,810.27 and 8,032.23 is: 12,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886.47 : 32,810.27 = 8,032.23 : x
  2. Step 2: Convert to fraction form
    21,886.47/32,810.27 = 8,032.23/x
  3. Step 3: Cross multiply
    21,886.47x = 32,810.27 × 8,032.23
  4. Step 4: Simplify right side
    21,886.47x = 263,539,594.84
  5. Step 5: Solve for x
    x = 263,539,594.84/21,886.47
  6. Step 6: Final answer
    x = 12,041.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.