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Finding the Fourth Proportional to 15,823.86, 21,846.40 and 9,863.60

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Solution

The fourth proportional to 15,823.86, 21,846.40 and 9,863.60 is: 13,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.86 : 21,846.40 = 9,863.60 : x
  2. Step 2: Convert to fraction form
    15,823.86/21,846.40 = 9,863.60/x
  3. Step 3: Cross multiply
    15,823.86x = 21,846.40 × 9,863.60
  4. Step 4: Simplify right side
    15,823.86x = 215,484,151.04
  5. Step 5: Solve for x
    x = 215,484,151.04/15,823.86
  6. Step 6: Final answer
    x = 13,617.67

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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.