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Finding the Fourth Proportional to 19,875.65, 29,814.85 and 6,723.57

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Solution

The fourth proportional to 19,875.65, 29,814.85 and 6,723.57 is: 10,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.65 : 29,814.85 = 6,723.57 : x
  2. Step 2: Convert to fraction form
    19,875.65/29,814.85 = 6,723.57/x
  3. Step 3: Cross multiply
    19,875.65x = 29,814.85 × 6,723.57
  4. Step 4: Simplify right side
    19,875.65x = 200,462,214.21
  5. Step 5: Solve for x
    x = 200,462,214.21/19,875.65
  6. Step 6: Final answer
    x = 10,085.82

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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.