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Finding the Fourth Proportional to 29,566.26, 40,774.80 and 18,953.82

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Solution

The fourth proportional to 29,566.26, 40,774.80 and 18,953.82 is: 26,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,566.26 : 40,774.80 = 18,953.82 : x
  2. Step 2: Convert to fraction form
    29,566.26/40,774.80 = 18,953.82/x
  3. Step 3: Cross multiply
    29,566.26x = 40,774.80 × 18,953.82
  4. Step 4: Simplify right side
    29,566.26x = 772,838,219.74
  5. Step 5: Solve for x
    x = 772,838,219.74/29,566.26
  6. Step 6: Final answer
    x = 26,139.19

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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.