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Finding the Fourth Proportional to 23,038.92, 31,796.55 and 12,967.80

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Solution

The fourth proportional to 23,038.92, 31,796.55 and 12,967.80 is: 17,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038.92 : 31,796.55 = 12,967.80 : x
  2. Step 2: Convert to fraction form
    23,038.92/31,796.55 = 12,967.80/x
  3. Step 3: Cross multiply
    23,038.92x = 31,796.55 × 12,967.80
  4. Step 4: Simplify right side
    23,038.92x = 412,331,301.09
  5. Step 5: Solve for x
    x = 412,331,301.09/23,038.92
  6. Step 6: Final answer
    x = 17,897.16

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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.