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Finding the Fourth Proportional to 15,880.77, 23,823.59 and 4,786.02

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Solution

The fourth proportional to 15,880.77, 23,823.59 and 4,786.02 is: 7,179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880.77 : 23,823.59 = 4,786.02 : x
  2. Step 2: Convert to fraction form
    15,880.77/23,823.59 = 4,786.02/x
  3. Step 3: Cross multiply
    15,880.77x = 23,823.59 × 4,786.02
  4. Step 4: Simplify right side
    15,880.77x = 114,020,154.28
  5. Step 5: Solve for x
    x = 114,020,154.28/15,880.77
  6. Step 6: Final answer
    x = 7,179.76

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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.