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Finding the Fourth Proportional to 14,426.08, 19,906.80 and 8,140

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Solution

The fourth proportional to 14,426.08, 19,906.80 and 8,140 is: 11,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,426.08 : 19,906.80 = 8,140 : x
  2. Step 2: Convert to fraction form
    14,426.08/19,906.80 = 8,140/x
  3. Step 3: Cross multiply
    14,426.08x = 19,906.80 × 8,140
  4. Step 4: Simplify right side
    14,426.08x = 162,041,352
  5. Step 5: Solve for x
    x = 162,041,352/14,426.08
  6. Step 6: Final answer
    x = 11,232.53

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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.