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Finding the Fourth Proportional to 16,309.94, 24,477.12 and 7,551

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Solution

The fourth proportional to 16,309.94, 24,477.12 and 7,551 is: 11,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.94 : 24,477.12 = 7,551 : x
  2. Step 2: Convert to fraction form
    16,309.94/24,477.12 = 7,551/x
  3. Step 3: Cross multiply
    16,309.94x = 24,477.12 × 7,551
  4. Step 4: Simplify right side
    16,309.94x = 184,826,733.12
  5. Step 5: Solve for x
    x = 184,826,733.12/16,309.94
  6. Step 6: Final answer
    x = 11,332.15

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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.