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Finding the Fourth Proportional to 14,086.86, 21,137.58 and 10,223.16

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Solution

The fourth proportional to 14,086.86, 21,137.58 and 10,223.16 is: 15,340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,086.86 : 21,137.58 = 10,223.16 : x
  2. Step 2: Convert to fraction form
    14,086.86/21,137.58 = 10,223.16/x
  3. Step 3: Cross multiply
    14,086.86x = 21,137.58 × 10,223.16
  4. Step 4: Simplify right side
    14,086.86x = 216,092,862.35
  5. Step 5: Solve for x
    x = 216,092,862.35/14,086.86
  6. Step 6: Final answer
    x = 15,340.03

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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.