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Finding the Fourth Proportional to 14,223.25, 21,329.17 and 5,897.61

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Solution

The fourth proportional to 14,223.25, 21,329.17 and 5,897.61 is: 8,844.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.25 : 21,329.17 = 5,897.61 : x
  2. Step 2: Convert to fraction form
    14,223.25/21,329.17 = 5,897.61/x
  3. Step 3: Cross multiply
    14,223.25x = 21,329.17 × 5,897.61
  4. Step 4: Simplify right side
    14,223.25x = 125,791,144.71
  5. Step 5: Solve for x
    x = 125,791,144.71/14,223.25
  6. Step 6: Final answer
    x = 8,844.05

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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.