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Finding the Fourth Proportional to 16,670.24, 25,006.70 and 5,577

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Solution

The fourth proportional to 16,670.24, 25,006.70 and 5,577 is: 8,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,670.24 : 25,006.70 = 5,577 : x
  2. Step 2: Convert to fraction form
    16,670.24/25,006.70 = 5,577/x
  3. Step 3: Cross multiply
    16,670.24x = 25,006.70 × 5,577
  4. Step 4: Simplify right side
    16,670.24x = 139,462,365.90
  5. Step 5: Solve for x
    x = 139,462,365.90/16,670.24
  6. Step 6: Final answer
    x = 8,365.95

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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.