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Finding the Fourth Proportional to 14,894.42, 20,543.02 and 10,416.74

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Solution

The fourth proportional to 14,894.42, 20,543.02 and 10,416.74 is: 14,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894.42 : 20,543.02 = 10,416.74 : x
  2. Step 2: Convert to fraction form
    14,894.42/20,543.02 = 10,416.74/x
  3. Step 3: Cross multiply
    14,894.42x = 20,543.02 × 10,416.74
  4. Step 4: Simplify right side
    14,894.42x = 213,991,169.40
  5. Step 5: Solve for x
    x = 213,991,169.40/14,894.42
  6. Step 6: Final answer
    x = 14,367.21

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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.