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Finding the Fourth Proportional to 23,739, 32,762.70 and 13,803

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Solution

The fourth proportional to 23,739, 32,762.70 and 13,803 is: 19,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,739 : 32,762.70 = 13,803 : x
  2. Step 2: Convert to fraction form
    23,739/32,762.70 = 13,803/x
  3. Step 3: Cross multiply
    23,739x = 32,762.70 × 13,803
  4. Step 4: Simplify right side
    23,739x = 452,223,548.10
  5. Step 5: Solve for x
    x = 452,223,548.10/23,739
  6. Step 6: Final answer
    x = 19,049.81

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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.