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Finding the Fourth Proportional to 19,212.50, 26,513.66 and 10,829

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Solution

The fourth proportional to 19,212.50, 26,513.66 and 10,829 is: 14,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,212.50 : 26,513.66 = 10,829 : x
  2. Step 2: Convert to fraction form
    19,212.50/26,513.66 = 10,829/x
  3. Step 3: Cross multiply
    19,212.50x = 26,513.66 × 10,829
  4. Step 4: Simplify right side
    19,212.50x = 287,116,424.14
  5. Step 5: Solve for x
    x = 287,116,424.14/19,212.50
  6. Step 6: Final answer
    x = 14,944.25

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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.