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Finding the Fourth Proportional to 19,527.68, 29,288.46 and 7,045.76

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Solution

The fourth proportional to 19,527.68, 29,288.46 and 7,045.76 is: 10,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527.68 : 29,288.46 = 7,045.76 : x
  2. Step 2: Convert to fraction form
    19,527.68/29,288.46 = 7,045.76/x
  3. Step 3: Cross multiply
    19,527.68x = 29,288.46 × 7,045.76
  4. Step 4: Simplify right side
    19,527.68x = 206,359,459.93
  5. Step 5: Solve for x
    x = 206,359,459.93/19,527.68
  6. Step 6: Final answer
    x = 10,567.54

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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.