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Finding the Fourth Proportional to 15,360, 21,197.87 and 8,646.27

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Solution

The fourth proportional to 15,360, 21,197.87 and 8,646.27 is: 11,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,360 : 21,197.87 = 8,646.27 : x
  2. Step 2: Convert to fraction form
    15,360/21,197.87 = 8,646.27/x
  3. Step 3: Cross multiply
    15,360x = 21,197.87 × 8,646.27
  4. Step 4: Simplify right side
    15,360x = 183,282,507.44
  5. Step 5: Solve for x
    x = 183,282,507.44/15,360
  6. Step 6: Final answer
    x = 11,932.45

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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.