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Finding the Fourth Proportional to 19,575.96, 27,016.16 and 11,078.08

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Solution

The fourth proportional to 19,575.96, 27,016.16 and 11,078.08 is: 15,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,575.96 : 27,016.16 = 11,078.08 : x
  2. Step 2: Convert to fraction form
    19,575.96/27,016.16 = 11,078.08/x
  3. Step 3: Cross multiply
    19,575.96x = 27,016.16 × 11,078.08
  4. Step 4: Simplify right side
    19,575.96x = 299,287,058.84
  5. Step 5: Solve for x
    x = 299,287,058.84/19,575.96
  6. Step 6: Final answer
    x = 15,288.50

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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.