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Finding the Fourth Proportional to 24,421.50, 36,632.25 and 10,570.50

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Solution

The fourth proportional to 24,421.50, 36,632.25 and 10,570.50 is: 15,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,421.50 : 36,632.25 = 10,570.50 : x
  2. Step 2: Convert to fraction form
    24,421.50/36,632.25 = 10,570.50/x
  3. Step 3: Cross multiply
    24,421.50x = 36,632.25 × 10,570.50
  4. Step 4: Simplify right side
    24,421.50x = 387,221,198.63
  5. Step 5: Solve for x
    x = 387,221,198.63/24,421.50
  6. Step 6: Final answer
    x = 15,855.75

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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.