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Finding the Fourth Proportional to 15,823.20, 21,835.10 and 8,749.16

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Solution

The fourth proportional to 15,823.20, 21,835.10 and 8,749.16 is: 12,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.20 : 21,835.10 = 8,749.16 : x
  2. Step 2: Convert to fraction form
    15,823.20/21,835.10 = 8,749.16/x
  3. Step 3: Cross multiply
    15,823.20x = 21,835.10 × 8,749.16
  4. Step 4: Simplify right side
    15,823.20x = 191,038,783.52
  5. Step 5: Solve for x
    x = 191,038,783.52/15,823.20
  6. Step 6: Final answer
    x = 12,073.33

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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.