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Finding the Fourth Proportional to 16,307.14, 22,507.35 and 9,935.80

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Solution

The fourth proportional to 16,307.14, 22,507.35 and 9,935.80 is: 13,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.14 : 22,507.35 = 9,935.80 : x
  2. Step 2: Convert to fraction form
    16,307.14/22,507.35 = 9,935.80/x
  3. Step 3: Cross multiply
    16,307.14x = 22,507.35 × 9,935.80
  4. Step 4: Simplify right side
    16,307.14x = 223,628,528.13
  5. Step 5: Solve for x
    x = 223,628,528.13/16,307.14
  6. Step 6: Final answer
    x = 13,713.53

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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.