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Finding the Fourth Proportional to 13,333.77, 19,978.74 and 4,563.90

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Solution

The fourth proportional to 13,333.77, 19,978.74 and 4,563.90 is: 6,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,333.77 : 19,978.74 = 4,563.90 : x
  2. Step 2: Convert to fraction form
    13,333.77/19,978.74 = 4,563.90/x
  3. Step 3: Cross multiply
    13,333.77x = 19,978.74 × 4,563.90
  4. Step 4: Simplify right side
    13,333.77x = 91,180,971.49
  5. Step 5: Solve for x
    x = 91,180,971.49/13,333.77
  6. Step 6: Final answer
    x = 6,838.35

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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.