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Finding the Fourth Proportional to 16,523, 22,802.10 and 9,071

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Solution

The fourth proportional to 16,523, 22,802.10 and 9,071 is: 12,518.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523 : 22,802.10 = 9,071 : x
  2. Step 2: Convert to fraction form
    16,523/22,802.10 = 9,071/x
  3. Step 3: Cross multiply
    16,523x = 22,802.10 × 9,071
  4. Step 4: Simplify right side
    16,523x = 206,837,849.10
  5. Step 5: Solve for x
    x = 206,837,849.10/16,523
  6. Step 6: Final answer
    x = 12,518.18

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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.