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Finding the Fourth Proportional to 22,946.26, 31,663.02 and 13,513

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Solution

The fourth proportional to 22,946.26, 31,663.02 and 13,513 is: 18,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,946.26 : 31,663.02 = 13,513 : x
  2. Step 2: Convert to fraction form
    22,946.26/31,663.02 = 13,513/x
  3. Step 3: Cross multiply
    22,946.26x = 31,663.02 × 13,513
  4. Step 4: Simplify right side
    22,946.26x = 427,862,389.26
  5. Step 5: Solve for x
    x = 427,862,389.26/22,946.26
  6. Step 6: Final answer
    x = 18,646.28

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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.