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Finding the Fourth Proportional to 19,527.74, 29,301.94 and 10,649.48

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Solution

The fourth proportional to 19,527.74, 29,301.94 and 10,649.48 is: 15,979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527.74 : 29,301.94 = 10,649.48 : x
  2. Step 2: Convert to fraction form
    19,527.74/29,301.94 = 10,649.48/x
  3. Step 3: Cross multiply
    19,527.74x = 29,301.94 × 10,649.48
  4. Step 4: Simplify right side
    19,527.74x = 312,050,423.99
  5. Step 5: Solve for x
    x = 312,050,423.99/19,527.74
  6. Step 6: Final answer
    x = 15,979.85

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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.