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Finding the Fourth Proportional to 23,745.13, 35,604.53 and 9,715.00

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Solution

The fourth proportional to 23,745.13, 35,604.53 and 9,715.00 is: 14,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,745.13 : 35,604.53 = 9,715.00 : x
  2. Step 2: Convert to fraction form
    23,745.13/35,604.53 = 9,715.00/x
  3. Step 3: Cross multiply
    23,745.13x = 35,604.53 × 9,715.00
  4. Step 4: Simplify right side
    23,745.13x = 345,897,871.36
  5. Step 5: Solve for x
    x = 345,897,871.36/23,745.13
  6. Step 6: Final answer
    x = 14,567.11

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Why These Related Problems?

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