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Finding the Fourth Proportional to 16,477.10, 24,715.65 and 4,165.10

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Solution

The fourth proportional to 16,477.10, 24,715.65 and 4,165.10 is: 6,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.10 : 24,715.65 = 4,165.10 : x
  2. Step 2: Convert to fraction form
    16,477.10/24,715.65 = 4,165.10/x
  3. Step 3: Cross multiply
    16,477.10x = 24,715.65 × 4,165.10
  4. Step 4: Simplify right side
    16,477.10x = 102,943,153.82
  5. Step 5: Solve for x
    x = 102,943,153.82/16,477.10
  6. Step 6: Final answer
    x = 6,247.65

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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.