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Finding the Fourth Proportional to 15,708.94, 21,678.27 and 8,538.92

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Solution

The fourth proportional to 15,708.94, 21,678.27 and 8,538.92 is: 11,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.94 : 21,678.27 = 8,538.92 : x
  2. Step 2: Convert to fraction form
    15,708.94/21,678.27 = 8,538.92/x
  3. Step 3: Cross multiply
    15,708.94x = 21,678.27 × 8,538.92
  4. Step 4: Simplify right side
    15,708.94x = 185,108,954.15
  5. Step 5: Solve for x
    x = 185,108,954.15/15,708.94
  6. Step 6: Final answer
    x = 11,783.67

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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.