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Finding the Fourth Proportional to 15,897.20, 21,934.95 and 10,223.06

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Solution

The fourth proportional to 15,897.20, 21,934.95 and 10,223.06 is: 14,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.20 : 21,934.95 = 10,223.06 : x
  2. Step 2: Convert to fraction form
    15,897.20/21,934.95 = 10,223.06/x
  3. Step 3: Cross multiply
    15,897.20x = 21,934.95 × 10,223.06
  4. Step 4: Simplify right side
    15,897.20x = 224,242,309.95
  5. Step 5: Solve for x
    x = 224,242,309.95/15,897.20
  6. Step 6: Final answer
    x = 14,105.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.