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Finding the Fourth Proportional to 15,872.73, 21,894.47 and 10,214.86

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Solution

The fourth proportional to 15,872.73, 21,894.47 and 10,214.86 is: 14,090.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.73 : 21,894.47 = 10,214.86 : x
  2. Step 2: Convert to fraction form
    15,872.73/21,894.47 = 10,214.86/x
  3. Step 3: Cross multiply
    15,872.73x = 21,894.47 × 10,214.86
  4. Step 4: Simplify right side
    15,872.73x = 223,648,945.82
  5. Step 5: Solve for x
    x = 223,648,945.82/15,872.73
  6. Step 6: Final answer
    x = 14,090.14

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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.