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Finding the Fourth Proportional to 15,585.36, 23,383.80 and 5,731.08

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Solution

The fourth proportional to 15,585.36, 23,383.80 and 5,731.08 is: 8,598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.36 : 23,383.80 = 5,731.08 : x
  2. Step 2: Convert to fraction form
    15,585.36/23,383.80 = 5,731.08/x
  3. Step 3: Cross multiply
    15,585.36x = 23,383.80 × 5,731.08
  4. Step 4: Simplify right side
    15,585.36x = 134,014,428.50
  5. Step 5: Solve for x
    x = 134,014,428.50/15,585.36
  6. Step 6: Final answer
    x = 8,598.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.