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Finding the Fourth Proportional to 19,748.98, 29,624.07 and 8,649.94

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Solution

The fourth proportional to 19,748.98, 29,624.07 and 8,649.94 is: 12,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,748.98 : 29,624.07 = 8,649.94 : x
  2. Step 2: Convert to fraction form
    19,748.98/29,624.07 = 8,649.94/x
  3. Step 3: Cross multiply
    19,748.98x = 29,624.07 × 8,649.94
  4. Step 4: Simplify right side
    19,748.98x = 256,246,428.06
  5. Step 5: Solve for x
    x = 256,246,428.06/19,748.98
  6. Step 6: Final answer
    x = 12,975.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.