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Finding the Fourth Proportional to 14,857.72, 22,284.10 and 5,502.16

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Solution

The fourth proportional to 14,857.72, 22,284.10 and 5,502.16 is: 8,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.72 : 22,284.10 = 5,502.16 : x
  2. Step 2: Convert to fraction form
    14,857.72/22,284.10 = 5,502.16/x
  3. Step 3: Cross multiply
    14,857.72x = 22,284.10 × 5,502.16
  4. Step 4: Simplify right side
    14,857.72x = 122,610,683.66
  5. Step 5: Solve for x
    x = 122,610,683.66/14,857.72
  6. Step 6: Final answer
    x = 8,252.32

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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.