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Finding the Fourth Proportional to 13,864.42, 19,135.06 and 8,830.80

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Solution

The fourth proportional to 13,864.42, 19,135.06 and 8,830.80 is: 12,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.42 : 19,135.06 = 8,830.80 : x
  2. Step 2: Convert to fraction form
    13,864.42/19,135.06 = 8,830.80/x
  3. Step 3: Cross multiply
    13,864.42x = 19,135.06 × 8,830.80
  4. Step 4: Simplify right side
    13,864.42x = 168,977,887.85
  5. Step 5: Solve for x
    x = 168,977,887.85/13,864.42
  6. Step 6: Final answer
    x = 12,187.88

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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.