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Finding the Fourth Proportional to 15,491.34, 21,378.42 and 9,203.76

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Solution

The fourth proportional to 15,491.34, 21,378.42 and 9,203.76 is: 12,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,491.34 : 21,378.42 = 9,203.76 : x
  2. Step 2: Convert to fraction form
    15,491.34/21,378.42 = 9,203.76/x
  3. Step 3: Cross multiply
    15,491.34x = 21,378.42 × 9,203.76
  4. Step 4: Simplify right side
    15,491.34x = 196,761,846.86
  5. Step 5: Solve for x
    x = 196,761,846.86/15,491.34
  6. Step 6: Final answer
    x = 12,701.41

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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.