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Finding the Fourth Proportional to 15,928.29, 21,986.16 and 9,645.93

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Solution

The fourth proportional to 15,928.29, 21,986.16 and 9,645.93 is: 13,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,928.29 : 21,986.16 = 9,645.93 : x
  2. Step 2: Convert to fraction form
    15,928.29/21,986.16 = 9,645.93/x
  3. Step 3: Cross multiply
    15,928.29x = 21,986.16 × 9,645.93
  4. Step 4: Simplify right side
    15,928.29x = 212,076,850.40
  5. Step 5: Solve for x
    x = 212,076,850.40/15,928.29
  6. Step 6: Final answer
    x = 13,314.48

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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.