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Finding the Fourth Proportional to 24,608.34, 36,930.47 and 9,821.45

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Solution

The fourth proportional to 24,608.34, 36,930.47 and 9,821.45 is: 14,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608.34 : 36,930.47 = 9,821.45 : x
  2. Step 2: Convert to fraction form
    24,608.34/36,930.47 = 9,821.45/x
  3. Step 3: Cross multiply
    24,608.34x = 36,930.47 × 9,821.45
  4. Step 4: Simplify right side
    24,608.34x = 362,710,807.80
  5. Step 5: Solve for x
    x = 362,710,807.80/24,608.34
  6. Step 6: Final answer
    x = 14,739.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.