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Finding the Fourth Proportional to 14,400.08, 19,870.92 and 8,114

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Solution

The fourth proportional to 14,400.08, 19,870.92 and 8,114 is: 11,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.08 : 19,870.92 = 8,114 : x
  2. Step 2: Convert to fraction form
    14,400.08/19,870.92 = 8,114/x
  3. Step 3: Cross multiply
    14,400.08x = 19,870.92 × 8,114
  4. Step 4: Simplify right side
    14,400.08x = 161,232,644.88
  5. Step 5: Solve for x
    x = 161,232,644.88/14,400.08
  6. Step 6: Final answer
    x = 11,196.65

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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.