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Finding the Fourth Proportional to 15,384.87, 23,078.16 and 4,855.14

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Solution

The fourth proportional to 15,384.87, 23,078.16 and 4,855.14 is: 7,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.87 : 23,078.16 = 4,855.14 : x
  2. Step 2: Convert to fraction form
    15,384.87/23,078.16 = 4,855.14/x
  3. Step 3: Cross multiply
    15,384.87x = 23,078.16 × 4,855.14
  4. Step 4: Simplify right side
    15,384.87x = 112,047,697.74
  5. Step 5: Solve for x
    x = 112,047,697.74/15,384.87
  6. Step 6: Final answer
    x = 7,282.98

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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.