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Finding the Fourth Proportional to 23,655.51, 35,483.94 and 8,073

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Solution

The fourth proportional to 23,655.51, 35,483.94 and 8,073 is: 12,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,655.51 : 35,483.94 = 8,073 : x
  2. Step 2: Convert to fraction form
    23,655.51/35,483.94 = 8,073/x
  3. Step 3: Cross multiply
    23,655.51x = 35,483.94 × 8,073
  4. Step 4: Simplify right side
    23,655.51x = 286,461,847.62
  5. Step 5: Solve for x
    x = 286,461,847.62/23,655.51
  6. Step 6: Final answer
    x = 12,109.73

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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.