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Finding the Fourth Proportional to 16,528.06, 22,798.65 and 9,809.14

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Solution

The fourth proportional to 16,528.06, 22,798.65 and 9,809.14 is: 13,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,528.06 : 22,798.65 = 9,809.14 : x
  2. Step 2: Convert to fraction form
    16,528.06/22,798.65 = 9,809.14/x
  3. Step 3: Cross multiply
    16,528.06x = 22,798.65 × 9,809.14
  4. Step 4: Simplify right side
    16,528.06x = 223,635,149.66
  5. Step 5: Solve for x
    x = 223,635,149.66/16,528.06
  6. Step 6: Final answer
    x = 13,530.64

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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.