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Finding the Fourth Proportional to 15,684.84, 21,646.58 and 8,969.13

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Solution

The fourth proportional to 15,684.84, 21,646.58 and 8,969.13 is: 12,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.84 : 21,646.58 = 8,969.13 : x
  2. Step 2: Convert to fraction form
    15,684.84/21,646.58 = 8,969.13/x
  3. Step 3: Cross multiply
    15,684.84x = 21,646.58 × 8,969.13
  4. Step 4: Simplify right side
    15,684.84x = 194,150,945.23
  5. Step 5: Solve for x
    x = 194,150,945.23/15,684.84
  6. Step 6: Final answer
    x = 12,378.25

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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.