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Finding the Fourth Proportional to 15,767.76, 21,758.58 and 9,052.32

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Solution

The fourth proportional to 15,767.76, 21,758.58 and 9,052.32 is: 12,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.76 : 21,758.58 = 9,052.32 : x
  2. Step 2: Convert to fraction form
    15,767.76/21,758.58 = 9,052.32/x
  3. Step 3: Cross multiply
    15,767.76x = 21,758.58 × 9,052.32
  4. Step 4: Simplify right side
    15,767.76x = 196,965,628.91
  5. Step 5: Solve for x
    x = 196,965,628.91/15,767.76
  6. Step 6: Final answer
    x = 12,491.67

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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.