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Finding the Fourth Proportional to 21,154.08, 31,735.58 and 8,006.16

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Solution

The fourth proportional to 21,154.08, 31,735.58 and 8,006.16 is: 12,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.08 : 31,735.58 = 8,006.16 : x
  2. Step 2: Convert to fraction form
    21,154.08/31,735.58 = 8,006.16/x
  3. Step 3: Cross multiply
    21,154.08x = 31,735.58 × 8,006.16
  4. Step 4: Simplify right side
    21,154.08x = 254,080,131.17
  5. Step 5: Solve for x
    x = 254,080,131.17/21,154.08
  6. Step 6: Final answer
    x = 12,010.93

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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.