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Finding the Fourth Proportional to 19,653.10, 29,481.19 and 6,505.47

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Solution

The fourth proportional to 19,653.10, 29,481.19 and 6,505.47 is: 9,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,653.10 : 29,481.19 = 6,505.47 : x
  2. Step 2: Convert to fraction form
    19,653.10/29,481.19 = 6,505.47/x
  3. Step 3: Cross multiply
    19,653.10x = 29,481.19 × 6,505.47
  4. Step 4: Simplify right side
    19,653.10x = 191,788,999.29
  5. Step 5: Solve for x
    x = 191,788,999.29/19,653.10
  6. Step 6: Final answer
    x = 9,758.72

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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.