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Finding the Fourth Proportional to 15,509.16, 21,408.14 and 9,221.52

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Solution

The fourth proportional to 15,509.16, 21,408.14 and 9,221.52 is: 12,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.16 : 21,408.14 = 9,221.52 : x
  2. Step 2: Convert to fraction form
    15,509.16/21,408.14 = 9,221.52/x
  3. Step 3: Cross multiply
    15,509.16x = 21,408.14 × 9,221.52
  4. Step 4: Simplify right side
    15,509.16x = 197,415,591.17
  5. Step 5: Solve for x
    x = 197,415,591.17/15,509.16
  6. Step 6: Final answer
    x = 12,728.97

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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.