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Finding the Fourth Proportional to 23,646.10, 35,463.09 and 7,002.23

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Solution

The fourth proportional to 23,646.10, 35,463.09 and 7,002.23 is: 10,501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,646.10 : 35,463.09 = 7,002.23 : x
  2. Step 2: Convert to fraction form
    23,646.10/35,463.09 = 7,002.23/x
  3. Step 3: Cross multiply
    23,646.10x = 35,463.09 × 7,002.23
  4. Step 4: Simplify right side
    23,646.10x = 248,320,868.87
  5. Step 5: Solve for x
    x = 248,320,868.87/23,646.10
  6. Step 6: Final answer
    x = 10,501.56

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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.