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Finding the Fourth Proportional to 15,684.53, 21,646.38 and 8,970.79

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Solution

The fourth proportional to 15,684.53, 21,646.38 and 8,970.79 is: 12,380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.53 : 21,646.38 = 8,970.79 : x
  2. Step 2: Convert to fraction form
    15,684.53/21,646.38 = 8,970.79/x
  3. Step 3: Cross multiply
    15,684.53x = 21,646.38 × 8,970.79
  4. Step 4: Simplify right side
    15,684.53x = 194,184,976.15
  5. Step 5: Solve for x
    x = 194,184,976.15/15,684.53
  6. Step 6: Final answer
    x = 12,380.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.