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Finding the Fourth Proportional to 15,857.60, 21,816.42 and 15,420.20

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Solution

The fourth proportional to 15,857.60, 21,816.42 and 15,420.20 is: 21,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.60 : 21,816.42 = 15,420.20 : x
  2. Step 2: Convert to fraction form
    15,857.60/21,816.42 = 15,420.20/x
  3. Step 3: Cross multiply
    15,857.60x = 21,816.42 × 15,420.20
  4. Step 4: Simplify right side
    15,857.60x = 336,413,559.68
  5. Step 5: Solve for x
    x = 336,413,559.68/15,857.60
  6. Step 6: Final answer
    x = 21,214.66

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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.