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Finding the Fourth Proportional to 15,602.25, 23,389.47 and 5,739.15

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Solution

The fourth proportional to 15,602.25, 23,389.47 and 5,739.15 is: 8,603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,602.25 : 23,389.47 = 5,739.15 : x
  2. Step 2: Convert to fraction form
    15,602.25/23,389.47 = 5,739.15/x
  3. Step 3: Cross multiply
    15,602.25x = 23,389.47 × 5,739.15
  4. Step 4: Simplify right side
    15,602.25x = 134,235,676.75
  5. Step 5: Solve for x
    x = 134,235,676.75/15,602.25
  6. Step 6: Final answer
    x = 8,603.61

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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.