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Finding the Fourth Proportional to 16,569.64, 22,870.40 and 11,534.68

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Solution

The fourth proportional to 16,569.64, 22,870.40 and 11,534.68 is: 15,920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.64 : 22,870.40 = 11,534.68 : x
  2. Step 2: Convert to fraction form
    16,569.64/22,870.40 = 11,534.68/x
  3. Step 3: Cross multiply
    16,569.64x = 22,870.40 × 11,534.68
  4. Step 4: Simplify right side
    16,569.64x = 263,802,745.47
  5. Step 5: Solve for x
    x = 263,802,745.47/16,569.64
  6. Step 6: Final answer
    x = 15,920.85

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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.