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Finding the Fourth Proportional to 11,024.35, 15,206.02 and 9,202.35

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Solution

The fourth proportional to 11,024.35, 15,206.02 and 9,202.35 is: 12,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024.35 : 15,206.02 = 9,202.35 : x
  2. Step 2: Convert to fraction form
    11,024.35/15,206.02 = 9,202.35/x
  3. Step 3: Cross multiply
    11,024.35x = 15,206.02 × 9,202.35
  4. Step 4: Simplify right side
    11,024.35x = 139,931,118.15
  5. Step 5: Solve for x
    x = 139,931,118.15/11,024.35
  6. Step 6: Final answer
    x = 12,692.91

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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.