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Finding the Fourth Proportional to 17,152.16, 23,669.82 and 9,598.40

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Solution

The fourth proportional to 17,152.16, 23,669.82 and 9,598.40 is: 13,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,152.16 : 23,669.82 = 9,598.40 : x
  2. Step 2: Convert to fraction form
    17,152.16/23,669.82 = 9,598.40/x
  3. Step 3: Cross multiply
    17,152.16x = 23,669.82 × 9,598.40
  4. Step 4: Simplify right side
    17,152.16x = 227,192,370.70
  5. Step 5: Solve for x
    x = 227,192,370.70/17,152.16
  6. Step 6: Final answer
    x = 13,245.70

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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.