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Finding the Fourth Proportional to 13,463.59, 20,193.94 and 4,698.67

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Solution

The fourth proportional to 13,463.59, 20,193.94 and 4,698.67 is: 7,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.59 : 20,193.94 = 4,698.67 : x
  2. Step 2: Convert to fraction form
    13,463.59/20,193.94 = 4,698.67/x
  3. Step 3: Cross multiply
    13,463.59x = 20,193.94 × 4,698.67
  4. Step 4: Simplify right side
    13,463.59x = 94,884,660.06
  5. Step 5: Solve for x
    x = 94,884,660.06/13,463.59
  6. Step 6: Final answer
    x = 7,047.50

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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.