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Finding the Fourth Proportional to 15,433, 21,288.42 and 10,129.96

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Solution

The fourth proportional to 15,433, 21,288.42 and 10,129.96 is: 13,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,433 : 21,288.42 = 10,129.96 : x
  2. Step 2: Convert to fraction form
    15,433/21,288.42 = 10,129.96/x
  3. Step 3: Cross multiply
    15,433x = 21,288.42 × 10,129.96
  4. Step 4: Simplify right side
    15,433x = 215,650,843.06
  5. Step 5: Solve for x
    x = 215,650,843.06/15,433
  6. Step 6: Final answer
    x = 13,973.36

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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.