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Finding the Fourth Proportional to 15,708.36, 21,678.56 and 9,744

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Solution

The fourth proportional to 15,708.36, 21,678.56 and 9,744 is: 13,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.36 : 21,678.56 = 9,744 : x
  2. Step 2: Convert to fraction form
    15,708.36/21,678.56 = 9,744/x
  3. Step 3: Cross multiply
    15,708.36x = 21,678.56 × 9,744
  4. Step 4: Simplify right side
    15,708.36x = 211,235,888.64
  5. Step 5: Solve for x
    x = 211,235,888.64/15,708.36
  6. Step 6: Final answer
    x = 13,447.35

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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.