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Finding the Fourth Proportional to 14,277.16, 19,702.65 and 8,226.01

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Solution

The fourth proportional to 14,277.16, 19,702.65 and 8,226.01 is: 11,351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,277.16 : 19,702.65 = 8,226.01 : x
  2. Step 2: Convert to fraction form
    14,277.16/19,702.65 = 8,226.01/x
  3. Step 3: Cross multiply
    14,277.16x = 19,702.65 × 8,226.01
  4. Step 4: Simplify right side
    14,277.16x = 162,074,195.93
  5. Step 5: Solve for x
    x = 162,074,195.93/14,277.16
  6. Step 6: Final answer
    x = 11,351.99

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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.