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Finding the Fourth Proportional to 17,333.84, 23,922.06 and 10,264.16

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Solution

The fourth proportional to 17,333.84, 23,922.06 and 10,264.16 is: 14,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,333.84 : 23,922.06 = 10,264.16 : x
  2. Step 2: Convert to fraction form
    17,333.84/23,922.06 = 10,264.16/x
  3. Step 3: Cross multiply
    17,333.84x = 23,922.06 × 10,264.16
  4. Step 4: Simplify right side
    17,333.84x = 245,539,851.37
  5. Step 5: Solve for x
    x = 245,539,851.37/17,333.84
  6. Step 6: Final answer
    x = 14,165.35

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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.