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Finding the Fourth Proportional to 19,763.84, 29,661.30 and 8,678.18

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Solution

The fourth proportional to 19,763.84, 29,661.30 and 8,678.18 is: 13,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,763.84 : 29,661.30 = 8,678.18 : x
  2. Step 2: Convert to fraction form
    19,763.84/29,661.30 = 8,678.18/x
  3. Step 3: Cross multiply
    19,763.84x = 29,661.30 × 8,678.18
  4. Step 4: Simplify right side
    19,763.84x = 257,406,100.43
  5. Step 5: Solve for x
    x = 257,406,100.43/19,763.84
  6. Step 6: Final answer
    x = 13,024.09

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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.