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Finding the Fourth Proportional to 15,876.81, 23,813.19 and 5,345.19

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Solution

The fourth proportional to 15,876.81, 23,813.19 and 5,345.19 is: 8,017.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.81 : 23,813.19 = 5,345.19 : x
  2. Step 2: Convert to fraction form
    15,876.81/23,813.19 = 5,345.19/x
  3. Step 3: Cross multiply
    15,876.81x = 23,813.19 × 5,345.19
  4. Step 4: Simplify right side
    15,876.81x = 127,286,025.06
  5. Step 5: Solve for x
    x = 127,286,025.06/15,876.81
  6. Step 6: Final answer
    x = 8,017.10

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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.