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Finding the Fourth Proportional to 16,390.64, 22,618.16 and 9,673.80

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Solution

The fourth proportional to 16,390.64, 22,618.16 and 9,673.80 is: 13,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,390.64 : 22,618.16 = 9,673.80 : x
  2. Step 2: Convert to fraction form
    16,390.64/22,618.16 = 9,673.80/x
  3. Step 3: Cross multiply
    16,390.64x = 22,618.16 × 9,673.80
  4. Step 4: Simplify right side
    16,390.64x = 218,803,507.84
  5. Step 5: Solve for x
    x = 218,803,507.84/16,390.64
  6. Step 6: Final answer
    x = 13,349.30

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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.