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Finding the Fourth Proportional to 22,496.47, 31,049.10 and 12,935.60

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Solution

The fourth proportional to 22,496.47, 31,049.10 and 12,935.60 is: 17,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.47 : 31,049.10 = 12,935.60 : x
  2. Step 2: Convert to fraction form
    22,496.47/31,049.10 = 12,935.60/x
  3. Step 3: Cross multiply
    22,496.47x = 31,049.10 × 12,935.60
  4. Step 4: Simplify right side
    22,496.47x = 401,638,699.15
  5. Step 5: Solve for x
    x = 401,638,699.15/22,496.47
  6. Step 6: Final answer
    x = 17,853.41

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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.