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Finding the Fourth Proportional to 12,497.01, 17,245.29 and 6,831.57

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Solution

The fourth proportional to 12,497.01, 17,245.29 and 6,831.57 is: 9,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.01 : 17,245.29 = 6,831.57 : x
  2. Step 2: Convert to fraction form
    12,497.01/17,245.29 = 6,831.57/x
  3. Step 3: Cross multiply
    12,497.01x = 17,245.29 × 6,831.57
  4. Step 4: Simplify right side
    12,497.01x = 117,812,405.81
  5. Step 5: Solve for x
    x = 117,812,405.81/12,497.01
  6. Step 6: Final answer
    x = 9,427.25

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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.