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Finding the Fourth Proportional to 24,518.14, 33,834.02 and 13,907.54

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Solution

The fourth proportional to 24,518.14, 33,834.02 and 13,907.54 is: 19,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,518.14 : 33,834.02 = 13,907.54 : x
  2. Step 2: Convert to fraction form
    24,518.14/33,834.02 = 13,907.54/x
  3. Step 3: Cross multiply
    24,518.14x = 33,834.02 × 13,907.54
  4. Step 4: Simplify right side
    24,518.14x = 470,547,986.51
  5. Step 5: Solve for x
    x = 470,547,986.51/24,518.14
  6. Step 6: Final answer
    x = 19,191.83

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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.