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Finding the Fourth Proportional to 15,682.40, 21,645.87 and 9,710.68

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Solution

The fourth proportional to 15,682.40, 21,645.87 and 9,710.68 is: 13,403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.40 : 21,645.87 = 9,710.68 : x
  2. Step 2: Convert to fraction form
    15,682.40/21,645.87 = 9,710.68/x
  3. Step 3: Cross multiply
    15,682.40x = 21,645.87 × 9,710.68
  4. Step 4: Simplify right side
    15,682.40x = 210,196,066.95
  5. Step 5: Solve for x
    x = 210,196,066.95/15,682.40
  6. Step 6: Final answer
    x = 13,403.31

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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.