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Finding the Fourth Proportional to 14,436.96, 21,656.25 and 4,049.52

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Solution

The fourth proportional to 14,436.96, 21,656.25 and 4,049.52 is: 6,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,436.96 : 21,656.25 = 4,049.52 : x
  2. Step 2: Convert to fraction form
    14,436.96/21,656.25 = 4,049.52/x
  3. Step 3: Cross multiply
    14,436.96x = 21,656.25 × 4,049.52
  4. Step 4: Simplify right side
    14,436.96x = 87,697,417.50
  5. Step 5: Solve for x
    x = 87,697,417.50/14,436.96
  6. Step 6: Final answer
    x = 6,074.51

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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.