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Finding the Fourth Proportional to 15,814.14, 21,822.63 and 8,740.09

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Solution

The fourth proportional to 15,814.14, 21,822.63 and 8,740.09 is: 12,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.14 : 21,822.63 = 8,740.09 : x
  2. Step 2: Convert to fraction form
    15,814.14/21,822.63 = 8,740.09/x
  3. Step 3: Cross multiply
    15,814.14x = 21,822.63 × 8,740.09
  4. Step 4: Simplify right side
    15,814.14x = 190,731,750.24
  5. Step 5: Solve for x
    x = 190,731,750.24/15,814.14
  6. Step 6: Final answer
    x = 12,060.84

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1.5x scale

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.