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Finding the Fourth Proportional to 14,399.10, 19,870.74 and 8,111.52

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Solution

The fourth proportional to 14,399.10, 19,870.74 and 8,111.52 is: 11,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,399.10 : 19,870.74 = 8,111.52 : x
  2. Step 2: Convert to fraction form
    14,399.10/19,870.74 = 8,111.52/x
  3. Step 3: Cross multiply
    14,399.10x = 19,870.74 × 8,111.52
  4. Step 4: Simplify right side
    14,399.10x = 161,181,904.92
  5. Step 5: Solve for x
    x = 161,181,904.92/14,399.10
  6. Step 6: Final answer
    x = 11,193.89

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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.