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Finding the Fourth Proportional to 30,400.91, 41,953.85 and 17,655.15

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Solution

The fourth proportional to 30,400.91, 41,953.85 and 17,655.15 is: 24,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.91 : 41,953.85 = 17,655.15 : x
  2. Step 2: Convert to fraction form
    30,400.91/41,953.85 = 17,655.15/x
  3. Step 3: Cross multiply
    30,400.91x = 41,953.85 × 17,655.15
  4. Step 4: Simplify right side
    30,400.91x = 740,701,426.55
  5. Step 5: Solve for x
    x = 740,701,426.55/30,400.91
  6. Step 6: Final answer
    x = 24,364.45

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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.