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Finding the Fourth Proportional to 15,830.87, 23,757.99 and 7,510.93

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Solution

The fourth proportional to 15,830.87, 23,757.99 and 7,510.93 is: 11,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.87 : 23,757.99 = 7,510.93 : x
  2. Step 2: Convert to fraction form
    15,830.87/23,757.99 = 7,510.93/x
  3. Step 3: Cross multiply
    15,830.87x = 23,757.99 × 7,510.93
  4. Step 4: Simplify right side
    15,830.87x = 178,444,599.83
  5. Step 5: Solve for x
    x = 178,444,599.83/15,830.87
  6. Step 6: Final answer
    x = 11,271.94

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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.