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Finding the Fourth Proportional to 15,720.36, 23,575.52 and 5,188.42

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Solution

The fourth proportional to 15,720.36, 23,575.52 and 5,188.42 is: 7,780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720.36 : 23,575.52 = 5,188.42 : x
  2. Step 2: Convert to fraction form
    15,720.36/23,575.52 = 5,188.42/x
  3. Step 3: Cross multiply
    15,720.36x = 23,575.52 × 5,188.42
  4. Step 4: Simplify right side
    15,720.36x = 122,319,741.92
  5. Step 5: Solve for x
    x = 122,319,741.92/15,720.36
  6. Step 6: Final answer
    x = 7,780.98

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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.