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Finding the Fourth Proportional to 24,302, 33,536.76 and 13,124

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Solution

The fourth proportional to 24,302, 33,536.76 and 13,124 is: 18,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302 : 33,536.76 = 13,124 : x
  2. Step 2: Convert to fraction form
    24,302/33,536.76 = 13,124/x
  3. Step 3: Cross multiply
    24,302x = 33,536.76 × 13,124
  4. Step 4: Simplify right side
    24,302x = 440,136,438.24
  5. Step 5: Solve for x
    x = 440,136,438.24/24,302
  6. Step 6: Final answer
    x = 18,111.12

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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.