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Finding the Fourth Proportional to 16,585, 22,887.72 and 9,133

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Solution

The fourth proportional to 16,585, 22,887.72 and 9,133 is: 12,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585 : 22,887.72 = 9,133 : x
  2. Step 2: Convert to fraction form
    16,585/22,887.72 = 9,133/x
  3. Step 3: Cross multiply
    16,585x = 22,887.72 × 9,133
  4. Step 4: Simplify right side
    16,585x = 209,033,546.76
  5. Step 5: Solve for x
    x = 209,033,546.76/16,585
  6. Step 6: Final answer
    x = 12,603.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.