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Finding the Fourth Proportional to 24,804.36, 34,225.86 and 14,191.80

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Solution

The fourth proportional to 24,804.36, 34,225.86 and 14,191.80 is: 19,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804.36 : 34,225.86 = 14,191.80 : x
  2. Step 2: Convert to fraction form
    24,804.36/34,225.86 = 14,191.80/x
  3. Step 3: Cross multiply
    24,804.36x = 34,225.86 × 14,191.80
  4. Step 4: Simplify right side
    24,804.36x = 485,726,559.95
  5. Step 5: Solve for x
    x = 485,726,559.95/24,804.36
  6. Step 6: Final answer
    x = 19,582.31

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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.