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Finding the Fourth Proportional to 14,597.10, 21,895.64 and 4,736.38

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Solution

The fourth proportional to 14,597.10, 21,895.64 and 4,736.38 is: 7,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.10 : 21,895.64 = 4,736.38 : x
  2. Step 2: Convert to fraction form
    14,597.10/21,895.64 = 4,736.38/x
  3. Step 3: Cross multiply
    14,597.10x = 21,895.64 × 4,736.38
  4. Step 4: Simplify right side
    14,597.10x = 103,705,992.96
  5. Step 5: Solve for x
    x = 103,705,992.96/14,597.10
  6. Step 6: Final answer
    x = 7,104.56

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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.