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Finding the Fourth Proportional to 15,642.86, 21,588.16 and 10,268.50

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Solution

The fourth proportional to 15,642.86, 21,588.16 and 10,268.50 is: 14,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.86 : 21,588.16 = 10,268.50 : x
  2. Step 2: Convert to fraction form
    15,642.86/21,588.16 = 10,268.50/x
  3. Step 3: Cross multiply
    15,642.86x = 21,588.16 × 10,268.50
  4. Step 4: Simplify right side
    15,642.86x = 221,678,020.96
  5. Step 5: Solve for x
    x = 221,678,020.96/15,642.86
  6. Step 6: Final answer
    x = 14,171.20

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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.