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Finding the Fourth Proportional to 13,756.50, 20,624.94 and 9,807.84

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Solution

The fourth proportional to 13,756.50, 20,624.94 and 9,807.84 is: 14,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.50 : 20,624.94 = 9,807.84 : x
  2. Step 2: Convert to fraction form
    13,756.50/20,624.94 = 9,807.84/x
  3. Step 3: Cross multiply
    13,756.50x = 20,624.94 × 9,807.84
  4. Step 4: Simplify right side
    13,756.50x = 202,286,111.53
  5. Step 5: Solve for x
    x = 202,286,111.53/13,756.50
  6. Step 6: Final answer
    x = 14,704.77

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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.