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Finding the Fourth Proportional to 13,006.98, 19,505.00 and 9,474.98

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Solution

The fourth proportional to 13,006.98, 19,505.00 and 9,474.98 is: 14,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.98 : 19,505.00 = 9,474.98 : x
  2. Step 2: Convert to fraction form
    13,006.98/19,505.00 = 9,474.98/x
  3. Step 3: Cross multiply
    13,006.98x = 19,505.00 × 9,474.98
  4. Step 4: Simplify right side
    13,006.98x = 184,809,411.06
  5. Step 5: Solve for x
    x = 184,809,411.06/13,006.98
  6. Step 6: Final answer
    x = 14,208.48

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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.