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Finding the Fourth Proportional to 19,642.56, 29,457.15 and 7,159.65

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Solution

The fourth proportional to 19,642.56, 29,457.15 and 7,159.65 is: 10,737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.56 : 29,457.15 = 7,159.65 : x
  2. Step 2: Convert to fraction form
    19,642.56/29,457.15 = 7,159.65/x
  3. Step 3: Cross multiply
    19,642.56x = 29,457.15 × 7,159.65
  4. Step 4: Simplify right side
    19,642.56x = 210,902,884.00
  5. Step 5: Solve for x
    x = 210,902,884.00/19,642.56
  6. Step 6: Final answer
    x = 10,737.04

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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.