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Finding the Fourth Proportional to 24,509.48, 36,763.01 and 7,870.33

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Solution

The fourth proportional to 24,509.48, 36,763.01 and 7,870.33 is: 11,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.48 : 36,763.01 = 7,870.33 : x
  2. Step 2: Convert to fraction form
    24,509.48/36,763.01 = 7,870.33/x
  3. Step 3: Cross multiply
    24,509.48x = 36,763.01 × 7,870.33
  4. Step 4: Simplify right side
    24,509.48x = 289,336,797.33
  5. Step 5: Solve for x
    x = 289,336,797.33/24,509.48
  6. Step 6: Final answer
    x = 11,805.10

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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.