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Finding the Fourth Proportional to 16,716.80, 23,071.64 and 9,641.84

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Solution

The fourth proportional to 16,716.80, 23,071.64 and 9,641.84 is: 13,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716.80 : 23,071.64 = 9,641.84 : x
  2. Step 2: Convert to fraction form
    16,716.80/23,071.64 = 9,641.84/x
  3. Step 3: Cross multiply
    16,716.80x = 23,071.64 × 9,641.84
  4. Step 4: Simplify right side
    16,716.80x = 222,453,061.42
  5. Step 5: Solve for x
    x = 222,453,061.42/16,716.80
  6. Step 6: Final answer
    x = 13,307.16

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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.