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Finding the Fourth Proportional to 24,277.14, 33,506.73 and 23,169.06

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Solution

The fourth proportional to 24,277.14, 33,506.73 and 23,169.06 is: 31,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.14 : 33,506.73 = 23,169.06 : x
  2. Step 2: Convert to fraction form
    24,277.14/33,506.73 = 23,169.06/x
  3. Step 3: Cross multiply
    24,277.14x = 33,506.73 × 23,169.06
  4. Step 4: Simplify right side
    24,277.14x = 776,319,437.77
  5. Step 5: Solve for x
    x = 776,319,437.77/24,277.14
  6. Step 6: Final answer
    x = 31,977.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.