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Finding the Fourth Proportional to 14,417.32, 19,895.97 and 8,449.03

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Solution

The fourth proportional to 14,417.32, 19,895.97 and 8,449.03 is: 11,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.32 : 19,895.97 = 8,449.03 : x
  2. Step 2: Convert to fraction form
    14,417.32/19,895.97 = 8,449.03/x
  3. Step 3: Cross multiply
    14,417.32x = 19,895.97 × 8,449.03
  4. Step 4: Simplify right side
    14,417.32x = 168,101,647.41
  5. Step 5: Solve for x
    x = 168,101,647.41/14,417.32
  6. Step 6: Final answer
    x = 11,659.70

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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.