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Finding the Fourth Proportional to 29,643.86, 40,909.34 and 16,215.91

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Solution

The fourth proportional to 29,643.86, 40,909.34 and 16,215.91 is: 22,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643.86 : 40,909.34 = 16,215.91 : x
  2. Step 2: Convert to fraction form
    29,643.86/40,909.34 = 16,215.91/x
  3. Step 3: Cross multiply
    29,643.86x = 40,909.34 × 16,215.91
  4. Step 4: Simplify right side
    29,643.86x = 663,382,175.60
  5. Step 5: Solve for x
    x = 663,382,175.60/29,643.86
  6. Step 6: Final answer
    x = 22,378.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.