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Finding the Fourth Proportional to 12,435.15, 18,643.40 and 7,503.62

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Solution

The fourth proportional to 12,435.15, 18,643.40 and 7,503.62 is: 11,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.15 : 18,643.40 = 7,503.62 : x
  2. Step 2: Convert to fraction form
    12,435.15/18,643.40 = 7,503.62/x
  3. Step 3: Cross multiply
    12,435.15x = 18,643.40 × 7,503.62
  4. Step 4: Simplify right side
    12,435.15x = 139,892,989.11
  5. Step 5: Solve for x
    x = 139,892,989.11/12,435.15
  6. Step 6: Final answer
    x = 11,249.80

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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.