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Finding the Fourth Proportional to 18,124.23, 27,194.09 and 9,810.14

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Solution

The fourth proportional to 18,124.23, 27,194.09 and 9,810.14 is: 14,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,124.23 : 27,194.09 = 9,810.14 : x
  2. Step 2: Convert to fraction form
    18,124.23/27,194.09 = 9,810.14/x
  3. Step 3: Cross multiply
    18,124.23x = 27,194.09 × 9,810.14
  4. Step 4: Simplify right side
    18,124.23x = 266,777,718.63
  5. Step 5: Solve for x
    x = 266,777,718.63/18,124.23
  6. Step 6: Final answer
    x = 14,719.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.