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Finding the Fourth Proportional to 16,069.70, 24,116.40 and 7,636.25

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Solution

The fourth proportional to 16,069.70, 24,116.40 and 7,636.25 is: 11,460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069.70 : 24,116.40 = 7,636.25 : x
  2. Step 2: Convert to fraction form
    16,069.70/24,116.40 = 7,636.25/x
  3. Step 3: Cross multiply
    16,069.70x = 24,116.40 × 7,636.25
  4. Step 4: Simplify right side
    16,069.70x = 184,158,859.50
  5. Step 5: Solve for x
    x = 184,158,859.50/16,069.70
  6. Step 6: Final answer
    x = 11,460.01

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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.