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Finding the Fourth Proportional to 22,948, 31,663.36 and 13,513.12

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Solution

The fourth proportional to 22,948, 31,663.36 and 13,513.12 is: 18,645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,948 : 31,663.36 = 13,513.12 : x
  2. Step 2: Convert to fraction form
    22,948/31,663.36 = 13,513.12/x
  3. Step 3: Cross multiply
    22,948x = 31,663.36 × 13,513.12
  4. Step 4: Simplify right side
    22,948x = 427,870,783.28
  5. Step 5: Solve for x
    x = 427,870,783.28/22,948
  6. Step 6: Final answer
    x = 18,645.23

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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.