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Finding the Fourth Proportional to 23,406.02, 35,101.74 and 7,820

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Solution

The fourth proportional to 23,406.02, 35,101.74 and 7,820 is: 11,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406.02 : 35,101.74 = 7,820 : x
  2. Step 2: Convert to fraction form
    23,406.02/35,101.74 = 7,820/x
  3. Step 3: Cross multiply
    23,406.02x = 35,101.74 × 7,820
  4. Step 4: Simplify right side
    23,406.02x = 274,495,606.80
  5. Step 5: Solve for x
    x = 274,495,606.80/23,406.02
  6. Step 6: Final answer
    x = 11,727.56

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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.