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Finding the Fourth Proportional to 14,630.77, 20,185.02 and 9,597.79

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Solution

The fourth proportional to 14,630.77, 20,185.02 and 9,597.79 is: 13,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630.77 : 20,185.02 = 9,597.79 : x
  2. Step 2: Convert to fraction form
    14,630.77/20,185.02 = 9,597.79/x
  3. Step 3: Cross multiply
    14,630.77x = 20,185.02 × 9,597.79
  4. Step 4: Simplify right side
    14,630.77x = 193,731,482.18
  5. Step 5: Solve for x
    x = 193,731,482.18/14,630.77
  6. Step 6: Final answer
    x = 13,241.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.