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Finding the Fourth Proportional to 16,014.68, 22,098.57 and 9,298.99

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Solution

The fourth proportional to 16,014.68, 22,098.57 and 9,298.99 is: 12,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.68 : 22,098.57 = 9,298.99 : x
  2. Step 2: Convert to fraction form
    16,014.68/22,098.57 = 9,298.99/x
  3. Step 3: Cross multiply
    16,014.68x = 22,098.57 × 9,298.99
  4. Step 4: Simplify right side
    16,014.68x = 205,494,224.46
  5. Step 5: Solve for x
    x = 205,494,224.46/16,014.68
  6. Step 6: Final answer
    x = 12,831.62

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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.