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Finding the Fourth Proportional to 24,603.50, 36,905.26 and 8,187.50

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Solution

The fourth proportional to 24,603.50, 36,905.26 and 8,187.50 is: 12,281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,603.50 : 36,905.26 = 8,187.50 : x
  2. Step 2: Convert to fraction form
    24,603.50/36,905.26 = 8,187.50/x
  3. Step 3: Cross multiply
    24,603.50x = 36,905.26 × 8,187.50
  4. Step 4: Simplify right side
    24,603.50x = 302,161,816.25
  5. Step 5: Solve for x
    x = 302,161,816.25/24,603.50
  6. Step 6: Final answer
    x = 12,281.25

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1.5x scale

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.