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Finding the Fourth Proportional to 24,852.14, 34,289.16 and 17,289.98

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Solution

The fourth proportional to 24,852.14, 34,289.16 and 17,289.98 is: 23,855.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852.14 : 34,289.16 = 17,289.98 : x
  2. Step 2: Convert to fraction form
    24,852.14/34,289.16 = 17,289.98/x
  3. Step 3: Cross multiply
    24,852.14x = 34,289.16 × 17,289.98
  4. Step 4: Simplify right side
    24,852.14x = 592,858,890.62
  5. Step 5: Solve for x
    x = 592,858,890.62/24,852.14
  6. Step 6: Final answer
    x = 23,855.45

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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.