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Finding the Fourth Proportional to 14,368.24, 19,831.40 and 8,402.80

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Solution

The fourth proportional to 14,368.24, 19,831.40 and 8,402.80 is: 11,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368.24 : 19,831.40 = 8,402.80 : x
  2. Step 2: Convert to fraction form
    14,368.24/19,831.40 = 8,402.80/x
  3. Step 3: Cross multiply
    14,368.24x = 19,831.40 × 8,402.80
  4. Step 4: Simplify right side
    14,368.24x = 166,639,287.92
  5. Step 5: Solve for x
    x = 166,639,287.92/14,368.24
  6. Step 6: Final answer
    x = 11,597.75

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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.