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Finding the Fourth Proportional to 19,678.73, 29,510.46 and 6,527.57

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Solution

The fourth proportional to 19,678.73, 29,510.46 and 6,527.57 is: 9,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.73 : 29,510.46 = 6,527.57 : x
  2. Step 2: Convert to fraction form
    19,678.73/29,510.46 = 6,527.57/x
  3. Step 3: Cross multiply
    19,678.73x = 29,510.46 × 6,527.57
  4. Step 4: Simplify right side
    19,678.73x = 192,631,445.83
  5. Step 5: Solve for x
    x = 192,631,445.83/19,678.73
  6. Step 6: Final answer
    x = 9,788.82

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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.