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Finding the Fourth Proportional to 16,528.36, 22,813.14 and 10,237

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Solution

The fourth proportional to 16,528.36, 22,813.14 and 10,237 is: 14,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,528.36 : 22,813.14 = 10,237 : x
  2. Step 2: Convert to fraction form
    16,528.36/22,813.14 = 10,237/x
  3. Step 3: Cross multiply
    16,528.36x = 22,813.14 × 10,237
  4. Step 4: Simplify right side
    16,528.36x = 233,538,114.18
  5. Step 5: Solve for x
    x = 233,538,114.18/16,528.36
  6. Step 6: Final answer
    x = 14,129.54

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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.