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Finding the Fourth Proportional to 14,284.16, 19,712.32 and 8,233.02

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Solution

The fourth proportional to 14,284.16, 19,712.32 and 8,233.02 is: 11,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.16 : 19,712.32 = 8,233.02 : x
  2. Step 2: Convert to fraction form
    14,284.16/19,712.32 = 8,233.02/x
  3. Step 3: Cross multiply
    14,284.16x = 19,712.32 × 8,233.02
  4. Step 4: Simplify right side
    14,284.16x = 162,291,924.81
  5. Step 5: Solve for x
    x = 162,291,924.81/14,284.16
  6. Step 6: Final answer
    x = 11,361.67

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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.