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Finding the Fourth Proportional to 17,264.58, 23,824.98 and 9,812.58

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Solution

The fourth proportional to 17,264.58, 23,824.98 and 9,812.58 is: 13,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,264.58 : 23,824.98 = 9,812.58 : x
  2. Step 2: Convert to fraction form
    17,264.58/23,824.98 = 9,812.58/x
  3. Step 3: Cross multiply
    17,264.58x = 23,824.98 × 9,812.58
  4. Step 4: Simplify right side
    17,264.58x = 233,784,522.25
  5. Step 5: Solve for x
    x = 233,784,522.25/17,264.58
  6. Step 6: Final answer
    x = 13,541.28

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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.