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Finding the Fourth Proportional to 23,038.77, 31,796.58 and 12,969.18

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Solution

The fourth proportional to 23,038.77, 31,796.58 and 12,969.18 is: 17,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038.77 : 31,796.58 = 12,969.18 : x
  2. Step 2: Convert to fraction form
    23,038.77/31,796.58 = 12,969.18/x
  3. Step 3: Cross multiply
    23,038.77x = 31,796.58 × 12,969.18
  4. Step 4: Simplify right side
    23,038.77x = 412,375,569.40
  5. Step 5: Solve for x
    x = 412,375,569.40/23,038.77
  6. Step 6: Final answer
    x = 17,899.20

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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.