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Finding the Fourth Proportional to 23,026.99, 31,774.84 and 12,954.57

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Solution

The fourth proportional to 23,026.99, 31,774.84 and 12,954.57 is: 17,875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,026.99 : 31,774.84 = 12,954.57 : x
  2. Step 2: Convert to fraction form
    23,026.99/31,774.84 = 12,954.57/x
  3. Step 3: Cross multiply
    23,026.99x = 31,774.84 × 12,954.57
  4. Step 4: Simplify right side
    23,026.99x = 411,629,389.02
  5. Step 5: Solve for x
    x = 411,629,389.02/23,026.99
  6. Step 6: Final answer
    x = 17,875.95

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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.