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Finding the Fourth Proportional to 14,150.16, 21,227.98 and 5,384.40

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Solution

The fourth proportional to 14,150.16, 21,227.98 and 5,384.40 is: 8,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,150.16 : 21,227.98 = 5,384.40 : x
  2. Step 2: Convert to fraction form
    14,150.16/21,227.98 = 5,384.40/x
  3. Step 3: Cross multiply
    14,150.16x = 21,227.98 × 5,384.40
  4. Step 4: Simplify right side
    14,150.16x = 114,299,935.51
  5. Step 5: Solve for x
    x = 114,299,935.51/14,150.16
  6. Step 6: Final answer
    x = 8,077.64

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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.