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Finding the Fourth Proportional to 16,537.01, 22,821.59 and 9,465.71

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Solution

The fourth proportional to 16,537.01, 22,821.59 and 9,465.71 is: 13,062.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.01 : 22,821.59 = 9,465.71 : x
  2. Step 2: Convert to fraction form
    16,537.01/22,821.59 = 9,465.71/x
  3. Step 3: Cross multiply
    16,537.01x = 22,821.59 × 9,465.71
  4. Step 4: Simplify right side
    16,537.01x = 216,022,552.68
  5. Step 5: Solve for x
    x = 216,022,552.68/16,537.01
  6. Step 6: Final answer
    x = 13,062.98

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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.