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Finding the Fourth Proportional to 14,402.80, 19,875.54 and 8,114.50

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Solution

The fourth proportional to 14,402.80, 19,875.54 and 8,114.50 is: 11,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.80 : 19,875.54 = 8,114.50 : x
  2. Step 2: Convert to fraction form
    14,402.80/19,875.54 = 8,114.50/x
  3. Step 3: Cross multiply
    14,402.80x = 19,875.54 × 8,114.50
  4. Step 4: Simplify right side
    14,402.80x = 161,280,069.33
  5. Step 5: Solve for x
    x = 161,280,069.33/14,402.80
  6. Step 6: Final answer
    x = 11,197.83

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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.