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Finding the Fourth Proportional to 16,368.64, 22,588.50 and 9,295

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Solution

The fourth proportional to 16,368.64, 22,588.50 and 9,295 is: 12,826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,368.64 : 22,588.50 = 9,295 : x
  2. Step 2: Convert to fraction form
    16,368.64/22,588.50 = 9,295/x
  3. Step 3: Cross multiply
    16,368.64x = 22,588.50 × 9,295
  4. Step 4: Simplify right side
    16,368.64x = 209,960,107.50
  5. Step 5: Solve for x
    x = 209,960,107.50/16,368.64
  6. Step 6: Final answer
    x = 12,826.97

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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.