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Finding the Fourth Proportional to 19,821.84, 29,717.07 and 9,819.51

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Solution

The fourth proportional to 19,821.84, 29,717.07 and 9,819.51 is: 14,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821.84 : 29,717.07 = 9,819.51 : x
  2. Step 2: Convert to fraction form
    19,821.84/29,717.07 = 9,819.51/x
  3. Step 3: Cross multiply
    19,821.84x = 29,717.07 × 9,819.51
  4. Step 4: Simplify right side
    19,821.84x = 291,807,066.04
  5. Step 5: Solve for x
    x = 291,807,066.04/19,821.84
  6. Step 6: Final answer
    x = 14,721.49

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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.