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Finding the Fourth Proportional to 15,676.86, 23,484.52 and 9,089.20

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Solution

The fourth proportional to 15,676.86, 23,484.52 and 9,089.20 is: 13,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676.86 : 23,484.52 = 9,089.20 : x
  2. Step 2: Convert to fraction form
    15,676.86/23,484.52 = 9,089.20/x
  3. Step 3: Cross multiply
    15,676.86x = 23,484.52 × 9,089.20
  4. Step 4: Simplify right side
    15,676.86x = 213,455,499.18
  5. Step 5: Solve for x
    x = 213,455,499.18/15,676.86
  6. Step 6: Final answer
    x = 13,615.96

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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.