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Finding the Fourth Proportional to 27,588.96, 38,073 and 15,652.32

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Solution

The fourth proportional to 27,588.96, 38,073 and 15,652.32 is: 21,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,588.96 : 38,073 = 15,652.32 : x
  2. Step 2: Convert to fraction form
    27,588.96/38,073 = 15,652.32/x
  3. Step 3: Cross multiply
    27,588.96x = 38,073 × 15,652.32
  4. Step 4: Simplify right side
    27,588.96x = 595,930,779.36
  5. Step 5: Solve for x
    x = 595,930,779.36/27,588.96
  6. Step 6: Final answer
    x = 21,600.34

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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.