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Finding the Fourth Proportional to 16,347.42, 22,532.47 and 11,561.17

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Solution

The fourth proportional to 16,347.42, 22,532.47 and 11,561.17 is: 15,935.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.42 : 22,532.47 = 11,561.17 : x
  2. Step 2: Convert to fraction form
    16,347.42/22,532.47 = 11,561.17/x
  3. Step 3: Cross multiply
    16,347.42x = 22,532.47 × 11,561.17
  4. Step 4: Simplify right side
    16,347.42x = 260,501,716.19
  5. Step 5: Solve for x
    x = 260,501,716.19/16,347.42
  6. Step 6: Final answer
    x = 15,935.34

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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.