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Finding the Fourth Proportional to 16,157.25, 22,297.28 and 9,784.04

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Solution

The fourth proportional to 16,157.25, 22,297.28 and 9,784.04 is: 13,502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.25 : 22,297.28 = 9,784.04 : x
  2. Step 2: Convert to fraction form
    16,157.25/22,297.28 = 9,784.04/x
  3. Step 3: Cross multiply
    16,157.25x = 22,297.28 × 9,784.04
  4. Step 4: Simplify right side
    16,157.25x = 218,157,319.00
  5. Step 5: Solve for x
    x = 218,157,319.00/16,157.25
  6. Step 6: Final answer
    x = 13,502.13

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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.