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Finding the Fourth Proportional to 22,906, 31,610.28 and 12,970

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Solution

The fourth proportional to 22,906, 31,610.28 and 12,970 is: 17,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906 : 31,610.28 = 12,970 : x
  2. Step 2: Convert to fraction form
    22,906/31,610.28 = 12,970/x
  3. Step 3: Cross multiply
    22,906x = 31,610.28 × 12,970
  4. Step 4: Simplify right side
    22,906x = 409,985,331.60
  5. Step 5: Solve for x
    x = 409,985,331.60/22,906
  6. Step 6: Final answer
    x = 17,898.60

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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.