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Finding the Fourth Proportional to 19,732.98, 29,599.89 and 6,585.48

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Solution

The fourth proportional to 19,732.98, 29,599.89 and 6,585.48 is: 9,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.98 : 29,599.89 = 6,585.48 : x
  2. Step 2: Convert to fraction form
    19,732.98/29,599.89 = 6,585.48/x
  3. Step 3: Cross multiply
    19,732.98x = 29,599.89 × 6,585.48
  4. Step 4: Simplify right side
    19,732.98x = 194,929,483.60
  5. Step 5: Solve for x
    x = 194,929,483.60/19,732.98
  6. Step 6: Final answer
    x = 9,878.36

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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.