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Finding the Fourth Proportional to 12,688.82, 17,527.30 and 9,741.08

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Solution

The fourth proportional to 12,688.82, 17,527.30 and 9,741.08 is: 13,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.82 : 17,527.30 = 9,741.08 : x
  2. Step 2: Convert to fraction form
    12,688.82/17,527.30 = 9,741.08/x
  3. Step 3: Cross multiply
    12,688.82x = 17,527.30 × 9,741.08
  4. Step 4: Simplify right side
    12,688.82x = 170,734,831.48
  5. Step 5: Solve for x
    x = 170,734,831.48/12,688.82
  6. Step 6: Final answer
    x = 13,455.53

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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.