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Finding the Fourth Proportional to 23,612.72, 35,419.12 and 8,030

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Solution

The fourth proportional to 23,612.72, 35,419.12 and 8,030 is: 12,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,612.72 : 35,419.12 = 8,030 : x
  2. Step 2: Convert to fraction form
    23,612.72/35,419.12 = 8,030/x
  3. Step 3: Cross multiply
    23,612.72x = 35,419.12 × 8,030
  4. Step 4: Simplify right side
    23,612.72x = 284,415,533.60
  5. Step 5: Solve for x
    x = 284,415,533.60/23,612.72
  6. Step 6: Final answer
    x = 12,045.01

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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.