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Finding the Fourth Proportional to 14,527.50, 21,756.81 and 9,243.66

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Solution

The fourth proportional to 14,527.50, 21,756.81 and 9,243.66 is: 13,843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.50 : 21,756.81 = 9,243.66 : x
  2. Step 2: Convert to fraction form
    14,527.50/21,756.81 = 9,243.66/x
  3. Step 3: Cross multiply
    14,527.50x = 21,756.81 × 9,243.66
  4. Step 4: Simplify right side
    14,527.50x = 201,112,554.32
  5. Step 5: Solve for x
    x = 201,112,554.32/14,527.50
  6. Step 6: Final answer
    x = 13,843.58

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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.