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Finding the Fourth Proportional to 24,782.29, 37,157.64 and 13,696.63

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Solution

The fourth proportional to 24,782.29, 37,157.64 and 13,696.63 is: 20,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.29 : 37,157.64 = 13,696.63 : x
  2. Step 2: Convert to fraction form
    24,782.29/37,157.64 = 13,696.63/x
  3. Step 3: Cross multiply
    24,782.29x = 37,157.64 × 13,696.63
  4. Step 4: Simplify right side
    24,782.29x = 508,934,446.75
  5. Step 5: Solve for x
    x = 508,934,446.75/24,782.29
  6. Step 6: Final answer
    x = 20,536.22

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1.5x scale

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.