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Finding the Fourth Proportional to 27,833.48, 38,410.74 and 15,257.48

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Solution

The fourth proportional to 27,833.48, 38,410.74 and 15,257.48 is: 21,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.48 : 38,410.74 = 15,257.48 : x
  2. Step 2: Convert to fraction form
    27,833.48/38,410.74 = 15,257.48/x
  3. Step 3: Cross multiply
    27,833.48x = 38,410.74 × 15,257.48
  4. Step 4: Simplify right side
    27,833.48x = 586,051,097.34
  5. Step 5: Solve for x
    x = 586,051,097.34/27,833.48
  6. Step 6: Final answer
    x = 21,055.62

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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.