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Finding the Fourth Proportional to 14,649.75, 20,233.08 and 9,925.83

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Solution

The fourth proportional to 14,649.75, 20,233.08 and 9,925.83 is: 13,708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.75 : 20,233.08 = 9,925.83 : x
  2. Step 2: Convert to fraction form
    14,649.75/20,233.08 = 9,925.83/x
  3. Step 3: Cross multiply
    14,649.75x = 20,233.08 × 9,925.83
  4. Step 4: Simplify right side
    14,649.75x = 200,830,112.46
  5. Step 5: Solve for x
    x = 200,830,112.46/14,649.75
  6. Step 6: Final answer
    x = 13,708.77

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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.