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Finding the Fourth Proportional to 12,011.10, 16,564.95 and 9,652.38

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Solution

The fourth proportional to 12,011.10, 16,564.95 and 9,652.38 is: 13,311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.10 : 16,564.95 = 9,652.38 : x
  2. Step 2: Convert to fraction form
    12,011.10/16,564.95 = 9,652.38/x
  3. Step 3: Cross multiply
    12,011.10x = 16,564.95 × 9,652.38
  4. Step 4: Simplify right side
    12,011.10x = 159,891,192.08
  5. Step 5: Solve for x
    x = 159,891,192.08/12,011.10
  6. Step 6: Final answer
    x = 13,311.95

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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.