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Finding the Fourth Proportional to 27,412.68, 37,829.16 and 14,837.16

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Solution

The fourth proportional to 27,412.68, 37,829.16 and 14,837.16 is: 20,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.68 : 37,829.16 = 14,837.16 : x
  2. Step 2: Convert to fraction form
    27,412.68/37,829.16 = 14,837.16/x
  3. Step 3: Cross multiply
    27,412.68x = 37,829.16 × 14,837.16
  4. Step 4: Simplify right side
    27,412.68x = 561,277,299.59
  5. Step 5: Solve for x
    x = 561,277,299.59/27,412.68
  6. Step 6: Final answer
    x = 20,475.10

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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.