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Finding the Fourth Proportional to 23,549.05, 35,328.78 and 7,758.95

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Solution

The fourth proportional to 23,549.05, 35,328.78 and 7,758.95 is: 11,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549.05 : 35,328.78 = 7,758.95 : x
  2. Step 2: Convert to fraction form
    23,549.05/35,328.78 = 7,758.95/x
  3. Step 3: Cross multiply
    23,549.05x = 35,328.78 × 7,758.95
  4. Step 4: Simplify right side
    23,549.05x = 274,114,331.16
  5. Step 5: Solve for x
    x = 274,114,331.16/23,549.05
  6. Step 6: Final answer
    x = 11,640.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.