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Finding the Fourth Proportional to 16,959.44, 23,402.76 and 9,506

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Solution

The fourth proportional to 16,959.44, 23,402.76 and 9,506 is: 13,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,959.44 : 23,402.76 = 9,506 : x
  2. Step 2: Convert to fraction form
    16,959.44/23,402.76 = 9,506/x
  3. Step 3: Cross multiply
    16,959.44x = 23,402.76 × 9,506
  4. Step 4: Simplify right side
    16,959.44x = 222,466,636.56
  5. Step 5: Solve for x
    x = 222,466,636.56/16,959.44
  6. Step 6: Final answer
    x = 13,117.57

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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.