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Finding the Fourth Proportional to 15,577.96, 23,369.67 and 6,698.74

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Solution

The fourth proportional to 15,577.96, 23,369.67 and 6,698.74 is: 10,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577.96 : 23,369.67 = 6,698.74 : x
  2. Step 2: Convert to fraction form
    15,577.96/23,369.67 = 6,698.74/x
  3. Step 3: Cross multiply
    15,577.96x = 23,369.67 × 6,698.74
  4. Step 4: Simplify right side
    15,577.96x = 156,547,343.22
  5. Step 5: Solve for x
    x = 156,547,343.22/15,577.96
  6. Step 6: Final answer
    x = 10,049.28

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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.