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Finding the Fourth Proportional to 16,523, 22,802.22 and 9,071.48

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Solution

The fourth proportional to 16,523, 22,802.22 and 9,071.48 is: 12,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523 : 22,802.22 = 9,071.48 : x
  2. Step 2: Convert to fraction form
    16,523/22,802.22 = 9,071.48/x
  3. Step 3: Cross multiply
    16,523x = 22,802.22 × 9,071.48
  4. Step 4: Simplify right side
    16,523x = 206,849,882.69
  5. Step 5: Solve for x
    x = 206,849,882.69/16,523
  6. Step 6: Final answer
    x = 12,518.91

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