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Finding the Fourth Proportional to 29,838.42, 44,757.66 and 14,208.66

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Solution

The fourth proportional to 29,838.42, 44,757.66 and 14,208.66 is: 21,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.42 : 44,757.66 = 14,208.66 : x
  2. Step 2: Convert to fraction form
    29,838.42/44,757.66 = 14,208.66/x
  3. Step 3: Cross multiply
    29,838.42x = 44,757.66 × 14,208.66
  4. Step 4: Simplify right side
    29,838.42x = 635,946,373.34
  5. Step 5: Solve for x
    x = 635,946,373.34/29,838.42
  6. Step 6: Final answer
    x = 21,313.00

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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.