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Finding the Fourth Proportional to 19,713.84, 29,519.01 and 15,746.82

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Solution

The fourth proportional to 19,713.84, 29,519.01 and 15,746.82 is: 23,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.84 : 29,519.01 = 15,746.82 : x
  2. Step 2: Convert to fraction form
    19,713.84/29,519.01 = 15,746.82/x
  3. Step 3: Cross multiply
    19,713.84x = 29,519.01 × 15,746.82
  4. Step 4: Simplify right side
    19,713.84x = 464,830,537.05
  5. Step 5: Solve for x
    x = 464,830,537.05/19,713.84
  6. Step 6: Final answer
    x = 23,578.89

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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.