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Finding the Fourth Proportional to 15,946.94, 24,026.81 and 14,447.83

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Solution

The fourth proportional to 15,946.94, 24,026.81 and 14,447.83 is: 21,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946.94 : 24,026.81 = 14,447.83 : x
  2. Step 2: Convert to fraction form
    15,946.94/24,026.81 = 14,447.83/x
  3. Step 3: Cross multiply
    15,946.94x = 24,026.81 × 14,447.83
  4. Step 4: Simplify right side
    15,946.94x = 347,135,266.32
  5. Step 5: Solve for x
    x = 347,135,266.32/15,946.94
  6. Step 6: Final answer
    x = 21,768.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.