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Finding the Fourth Proportional to 14,098.29, 19,446.82 and 9,069.06

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Solution

The fourth proportional to 14,098.29, 19,446.82 and 9,069.06 is: 12,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.29 : 19,446.82 = 9,069.06 : x
  2. Step 2: Convert to fraction form
    14,098.29/19,446.82 = 9,069.06/x
  3. Step 3: Cross multiply
    14,098.29x = 19,446.82 × 9,069.06
  4. Step 4: Simplify right side
    14,098.29x = 176,364,377.39
  5. Step 5: Solve for x
    x = 176,364,377.39/14,098.29
  6. Step 6: Final answer
    x = 12,509.63

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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.