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Finding the Fourth Proportional to 19,654.10, 29,482.69 and 6,506.47

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Solution

The fourth proportional to 19,654.10, 29,482.69 and 6,506.47 is: 9,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.10 : 29,482.69 = 6,506.47 : x
  2. Step 2: Convert to fraction form
    19,654.10/29,482.69 = 6,506.47/x
  3. Step 3: Cross multiply
    19,654.10x = 29,482.69 × 6,506.47
  4. Step 4: Simplify right side
    19,654.10x = 191,828,238.00
  5. Step 5: Solve for x
    x = 191,828,238.00/19,654.10
  6. Step 6: Final answer
    x = 9,760.21

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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.