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Finding the Fourth Proportional to 21,514.16, 32,258.48 and 8,188.16

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Solution

The fourth proportional to 21,514.16, 32,258.48 and 8,188.16 is: 12,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.16 : 32,258.48 = 8,188.16 : x
  2. Step 2: Convert to fraction form
    21,514.16/32,258.48 = 8,188.16/x
  3. Step 3: Cross multiply
    21,514.16x = 32,258.48 × 8,188.16
  4. Step 4: Simplify right side
    21,514.16x = 264,137,595.60
  5. Step 5: Solve for x
    x = 264,137,595.60/21,514.16
  6. Step 6: Final answer
    x = 12,277.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.