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Finding the Fourth Proportional to 21,402.32, 32,107.53 and 8,256.02

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Solution

The fourth proportional to 21,402.32, 32,107.53 and 8,256.02 is: 12,385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.32 : 32,107.53 = 8,256.02 : x
  2. Step 2: Convert to fraction form
    21,402.32/32,107.53 = 8,256.02/x
  3. Step 3: Cross multiply
    21,402.32x = 32,107.53 × 8,256.02
  4. Step 4: Simplify right side
    21,402.32x = 265,080,409.83
  5. Step 5: Solve for x
    x = 265,080,409.83/21,402.32
  6. Step 6: Final answer
    x = 12,385.59

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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.