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Finding the Fourth Proportional to 16,298.71, 22,491.44 and 10,009.87

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Solution

The fourth proportional to 16,298.71, 22,491.44 and 10,009.87 is: 13,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.71 : 22,491.44 = 10,009.87 : x
  2. Step 2: Convert to fraction form
    16,298.71/22,491.44 = 10,009.87/x
  3. Step 3: Cross multiply
    16,298.71x = 22,491.44 × 10,009.87
  4. Step 4: Simplify right side
    16,298.71x = 225,136,284.23
  5. Step 5: Solve for x
    x = 225,136,284.23/16,298.71
  6. Step 6: Final answer
    x = 13,813.14

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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.