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Finding the Fourth Proportional to 22,670.62, 34,005.93 and 6,875.62

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Solution

The fourth proportional to 22,670.62, 34,005.93 and 6,875.62 is: 10,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,670.62 : 34,005.93 = 6,875.62 : x
  2. Step 2: Convert to fraction form
    22,670.62/34,005.93 = 6,875.62/x
  3. Step 3: Cross multiply
    22,670.62x = 34,005.93 × 6,875.62
  4. Step 4: Simplify right side
    22,670.62x = 233,811,852.43
  5. Step 5: Solve for x
    x = 233,811,852.43/22,670.62
  6. Step 6: Final answer
    x = 10,313.43

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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.