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Finding the Fourth Proportional to 14,527.72, 20,054.37 and 9,818.38

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Solution

The fourth proportional to 14,527.72, 20,054.37 and 9,818.38 is: 13,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.72 : 20,054.37 = 9,818.38 : x
  2. Step 2: Convert to fraction form
    14,527.72/20,054.37 = 9,818.38/x
  3. Step 3: Cross multiply
    14,527.72x = 20,054.37 × 9,818.38
  4. Step 4: Simplify right side
    14,527.72x = 196,901,425.32
  5. Step 5: Solve for x
    x = 196,901,425.32/14,527.72
  6. Step 6: Final answer
    x = 13,553.50

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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.