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Finding the Fourth Proportional to 19,732.98, 29,599.88 and 6,585.47

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Solution

The fourth proportional to 19,732.98, 29,599.88 and 6,585.47 is: 9,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.98 : 29,599.88 = 6,585.47 : x
  2. Step 2: Convert to fraction form
    19,732.98/29,599.88 = 6,585.47/x
  3. Step 3: Cross multiply
    19,732.98x = 29,599.88 × 6,585.47
  4. Step 4: Simplify right side
    19,732.98x = 194,928,940.82
  5. Step 5: Solve for x
    x = 194,928,940.82/19,732.98
  6. Step 6: Final answer
    x = 9,878.33

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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.