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Finding the Fourth Proportional to 27,412.40, 37,829.10 and 16,234.40

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Solution

The fourth proportional to 27,412.40, 37,829.10 and 16,234.40 is: 22,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.40 : 37,829.10 = 16,234.40 : x
  2. Step 2: Convert to fraction form
    27,412.40/37,829.10 = 16,234.40/x
  3. Step 3: Cross multiply
    27,412.40x = 37,829.10 × 16,234.40
  4. Step 4: Simplify right side
    27,412.40x = 614,132,741.04
  5. Step 5: Solve for x
    x = 614,132,741.04/27,412.40
  6. Step 6: Final answer
    x = 22,403.46

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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.