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Finding the Fourth Proportional to 17,154.28, 23,672.10 and 9,700.84

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Solution

The fourth proportional to 17,154.28, 23,672.10 and 9,700.84 is: 13,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154.28 : 23,672.10 = 9,700.84 : x
  2. Step 2: Convert to fraction form
    17,154.28/23,672.10 = 9,700.84/x
  3. Step 3: Cross multiply
    17,154.28x = 23,672.10 × 9,700.84
  4. Step 4: Simplify right side
    17,154.28x = 229,639,254.56
  5. Step 5: Solve for x
    x = 229,639,254.56/17,154.28
  6. Step 6: Final answer
    x = 13,386.70

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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.