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Finding the Fourth Proportional to 15,684.16, 21,645.86 and 8,970.40

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Solution

The fourth proportional to 15,684.16, 21,645.86 and 8,970.40 is: 12,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.16 : 21,645.86 = 8,970.40 : x
  2. Step 2: Convert to fraction form
    15,684.16/21,645.86 = 8,970.40/x
  3. Step 3: Cross multiply
    15,684.16x = 21,645.86 × 8,970.40
  4. Step 4: Simplify right side
    15,684.16x = 194,172,022.54
  5. Step 5: Solve for x
    x = 194,172,022.54/15,684.16
  6. Step 6: Final answer
    x = 12,380.14

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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.