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Finding the Fourth Proportional to 29,693.25, 40,974.73 and 16,264.67

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Solution

The fourth proportional to 29,693.25, 40,974.73 and 16,264.67 is: 22,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,693.25 : 40,974.73 = 16,264.67 : x
  2. Step 2: Convert to fraction form
    29,693.25/40,974.73 = 16,264.67/x
  3. Step 3: Cross multiply
    29,693.25x = 40,974.73 × 16,264.67
  4. Step 4: Simplify right side
    29,693.25x = 666,440,216.25
  5. Step 5: Solve for x
    x = 666,440,216.25/29,693.25
  6. Step 6: Final answer
    x = 22,444.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.