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Finding the Fourth Proportional to 24,260.39, 36,368.94 and 9,465.86

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Solution

The fourth proportional to 24,260.39, 36,368.94 and 9,465.86 is: 14,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,260.39 : 36,368.94 = 9,465.86 : x
  2. Step 2: Convert to fraction form
    24,260.39/36,368.94 = 9,465.86/x
  3. Step 3: Cross multiply
    24,260.39x = 36,368.94 × 9,465.86
  4. Step 4: Simplify right side
    24,260.39x = 344,263,354.25
  5. Step 5: Solve for x
    x = 344,263,354.25/24,260.39
  6. Step 6: Final answer
    x = 14,190.35

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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.