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Finding the Fourth Proportional to 23,215.92, 32,038.20 and 12,605.64

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Solution

The fourth proportional to 23,215.92, 32,038.20 and 12,605.64 is: 17,395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,215.92 : 32,038.20 = 12,605.64 : x
  2. Step 2: Convert to fraction form
    23,215.92/32,038.20 = 12,605.64/x
  3. Step 3: Cross multiply
    23,215.92x = 32,038.20 × 12,605.64
  4. Step 4: Simplify right side
    23,215.92x = 403,862,015.45
  5. Step 5: Solve for x
    x = 403,862,015.45/23,215.92
  6. Step 6: Final answer
    x = 17,395.91

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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.