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Finding the Fourth Proportional to 13,333.95, 20,011.74 and 6,762.01

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Solution

The fourth proportional to 13,333.95, 20,011.74 and 6,762.01 is: 10,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,333.95 : 20,011.74 = 6,762.01 : x
  2. Step 2: Convert to fraction form
    13,333.95/20,011.74 = 6,762.01/x
  3. Step 3: Cross multiply
    13,333.95x = 20,011.74 × 6,762.01
  4. Step 4: Simplify right side
    13,333.95x = 135,319,586.00
  5. Step 5: Solve for x
    x = 135,319,586.00/13,333.95
  6. Step 6: Final answer
    x = 10,148.50

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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.