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Finding the Fourth Proportional to 27,302.66, 40,941.42 and 14,164.25

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Solution

The fourth proportional to 27,302.66, 40,941.42 and 14,164.25 is: 21,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,302.66 : 40,941.42 = 14,164.25 : x
  2. Step 2: Convert to fraction form
    27,302.66/40,941.42 = 14,164.25/x
  3. Step 3: Cross multiply
    27,302.66x = 40,941.42 × 14,164.25
  4. Step 4: Simplify right side
    27,302.66x = 579,904,303.53
  5. Step 5: Solve for x
    x = 579,904,303.53/27,302.66
  6. Step 6: Final answer
    x = 21,239.85

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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.