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Finding the Fourth Proportional to 16,099.47, 22,208.10 and 12,916.32

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Solution

The fourth proportional to 16,099.47, 22,208.10 and 12,916.32 is: 17,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.47 : 22,208.10 = 12,916.32 : x
  2. Step 2: Convert to fraction form
    16,099.47/22,208.10 = 12,916.32/x
  3. Step 3: Cross multiply
    16,099.47x = 22,208.10 × 12,916.32
  4. Step 4: Simplify right side
    16,099.47x = 286,846,926.19
  5. Step 5: Solve for x
    x = 286,846,926.19/16,099.47
  6. Step 6: Final answer
    x = 17,817.17

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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.