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Finding the Fourth Proportional to 15,921.96, 21,971.32 and 8,848.16

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Solution

The fourth proportional to 15,921.96, 21,971.32 and 8,848.16 is: 12,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,921.96 : 21,971.32 = 8,848.16 : x
  2. Step 2: Convert to fraction form
    15,921.96/21,971.32 = 8,848.16/x
  3. Step 3: Cross multiply
    15,921.96x = 21,971.32 × 8,848.16
  4. Step 4: Simplify right side
    15,921.96x = 194,405,754.77
  5. Step 5: Solve for x
    x = 194,405,754.77/15,921.96
  6. Step 6: Final answer
    x = 12,209.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.