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Finding the Fourth Proportional to 15,681.52, 21,633.66 and 9,629.68

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Solution

The fourth proportional to 15,681.52, 21,633.66 and 9,629.68 is: 13,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,681.52 : 21,633.66 = 9,629.68 : x
  2. Step 2: Convert to fraction form
    15,681.52/21,633.66 = 9,629.68/x
  3. Step 3: Cross multiply
    15,681.52x = 21,633.66 × 9,629.68
  4. Step 4: Simplify right side
    15,681.52x = 208,325,223.03
  5. Step 5: Solve for x
    x = 208,325,223.03/15,681.52
  6. Step 6: Final answer
    x = 13,284.76

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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.