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Finding the Fourth Proportional to 16,298.66, 22,493.60 and 9,580.92

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Solution

The fourth proportional to 16,298.66, 22,493.60 and 9,580.92 is: 13,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.66 : 22,493.60 = 9,580.92 : x
  2. Step 2: Convert to fraction form
    16,298.66/22,493.60 = 9,580.92/x
  3. Step 3: Cross multiply
    16,298.66x = 22,493.60 × 9,580.92
  4. Step 4: Simplify right side
    16,298.66x = 215,509,382.11
  5. Step 5: Solve for x
    x = 215,509,382.11/16,298.66
  6. Step 6: Final answer
    x = 13,222.52

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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.