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Finding the Fourth Proportional to 15,876.37, 21,898.90 and 10,202.17

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Solution

The fourth proportional to 15,876.37, 21,898.90 and 10,202.17 is: 14,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.37 : 21,898.90 = 10,202.17 : x
  2. Step 2: Convert to fraction form
    15,876.37/21,898.90 = 10,202.17/x
  3. Step 3: Cross multiply
    15,876.37x = 21,898.90 × 10,202.17
  4. Step 4: Simplify right side
    15,876.37x = 223,416,300.61
  5. Step 5: Solve for x
    x = 223,416,300.61/15,876.37
  6. Step 6: Final answer
    x = 14,072.25

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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.