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Finding the Fourth Proportional to 16,282.99, 22,459.84 and 12,920.47

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Solution

The fourth proportional to 16,282.99, 22,459.84 and 12,920.47 is: 17,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.99 : 22,459.84 = 12,920.47 : x
  2. Step 2: Convert to fraction form
    16,282.99/22,459.84 = 12,920.47/x
  3. Step 3: Cross multiply
    16,282.99x = 22,459.84 × 12,920.47
  4. Step 4: Simplify right side
    16,282.99x = 290,191,688.92
  5. Step 5: Solve for x
    x = 290,191,688.92/16,282.99
  6. Step 6: Final answer
    x = 17,821.77

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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.