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Finding the Fourth Proportional to 16,457.52, 22,710.96 and 9,743.25

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Solution

The fourth proportional to 16,457.52, 22,710.96 and 9,743.25 is: 13,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.52 : 22,710.96 = 9,743.25 : x
  2. Step 2: Convert to fraction form
    16,457.52/22,710.96 = 9,743.25/x
  3. Step 3: Cross multiply
    16,457.52x = 22,710.96 × 9,743.25
  4. Step 4: Simplify right side
    16,457.52x = 221,278,561.02
  5. Step 5: Solve for x
    x = 221,278,561.02/16,457.52
  6. Step 6: Final answer
    x = 13,445.44

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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.