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Finding the Fourth Proportional to 27,194.40, 40,798.08 and 12,407.76

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Solution

The fourth proportional to 27,194.40, 40,798.08 and 12,407.76 is: 18,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,194.40 : 40,798.08 = 12,407.76 : x
  2. Step 2: Convert to fraction form
    27,194.40/40,798.08 = 12,407.76/x
  3. Step 3: Cross multiply
    27,194.40x = 40,798.08 × 12,407.76
  4. Step 4: Simplify right side
    27,194.40x = 506,212,785.10
  5. Step 5: Solve for x
    x = 506,212,785.10/27,194.40
  6. Step 6: Final answer
    x = 18,614.60

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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.