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Finding the Fourth Proportional to 17,645.41, 24,351.51 and 9,688.42

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Solution

The fourth proportional to 17,645.41, 24,351.51 and 9,688.42 is: 13,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,645.41 : 24,351.51 = 9,688.42 : x
  2. Step 2: Convert to fraction form
    17,645.41/24,351.51 = 9,688.42/x
  3. Step 3: Cross multiply
    17,645.41x = 24,351.51 × 9,688.42
  4. Step 4: Simplify right side
    17,645.41x = 235,927,656.51
  5. Step 5: Solve for x
    x = 235,927,656.51/17,645.41
  6. Step 6: Final answer
    x = 13,370.48

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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.