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Finding the Fourth Proportional to 23,412.69, 35,122.53 and 8,620.47

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Solution

The fourth proportional to 23,412.69, 35,122.53 and 8,620.47 is: 12,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.69 : 35,122.53 = 8,620.47 : x
  2. Step 2: Convert to fraction form
    23,412.69/35,122.53 = 8,620.47/x
  3. Step 3: Cross multiply
    23,412.69x = 35,122.53 × 8,620.47
  4. Step 4: Simplify right side
    23,412.69x = 302,772,716.19
  5. Step 5: Solve for x
    x = 302,772,716.19/23,412.69
  6. Step 6: Final answer
    x = 12,931.99

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Why These Related Problems?

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