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Finding the Fourth Proportional to 16,643.43, 22,970.88 and 9,837.16

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Solution

The fourth proportional to 16,643.43, 22,970.88 and 9,837.16 is: 13,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.43 : 22,970.88 = 9,837.16 : x
  2. Step 2: Convert to fraction form
    16,643.43/22,970.88 = 9,837.16/x
  3. Step 3: Cross multiply
    16,643.43x = 22,970.88 × 9,837.16
  4. Step 4: Simplify right side
    16,643.43x = 225,968,221.90
  5. Step 5: Solve for x
    x = 225,968,221.90/16,643.43
  6. Step 6: Final answer
    x = 13,577.02

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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.