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Finding the Fourth Proportional to 17,831.19, 24,627.87 and 14,258.49

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Solution

The fourth proportional to 17,831.19, 24,627.87 and 14,258.49 is: 19,693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,831.19 : 24,627.87 = 14,258.49 : x
  2. Step 2: Convert to fraction form
    17,831.19/24,627.87 = 14,258.49/x
  3. Step 3: Cross multiply
    17,831.19x = 24,627.87 × 14,258.49
  4. Step 4: Simplify right side
    17,831.19x = 351,156,238.12
  5. Step 5: Solve for x
    x = 351,156,238.12/17,831.19
  6. Step 6: Final answer
    x = 19,693.37

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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.