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Finding the Fourth Proportional to 16,356.57, 24,535.08 and 4,669.77

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Solution

The fourth proportional to 16,356.57, 24,535.08 and 4,669.77 is: 7,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.57 : 24,535.08 = 4,669.77 : x
  2. Step 2: Convert to fraction form
    16,356.57/24,535.08 = 4,669.77/x
  3. Step 3: Cross multiply
    16,356.57x = 24,535.08 × 4,669.77
  4. Step 4: Simplify right side
    16,356.57x = 114,573,180.53
  5. Step 5: Solve for x
    x = 114,573,180.53/16,356.57
  6. Step 6: Final answer
    x = 7,004.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.