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Finding the Fourth Proportional to 11,253.20, 16,831.20 and 9,503.60

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Solution

The fourth proportional to 11,253.20, 16,831.20 and 9,503.60 is: 14,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,253.20 : 16,831.20 = 9,503.60 : x
  2. Step 2: Convert to fraction form
    11,253.20/16,831.20 = 9,503.60/x
  3. Step 3: Cross multiply
    11,253.20x = 16,831.20 × 9,503.60
  4. Step 4: Simplify right side
    11,253.20x = 159,956,992.32
  5. Step 5: Solve for x
    x = 159,956,992.32/11,253.20
  6. Step 6: Final answer
    x = 14,214.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.