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Finding the Fourth Proportional to 13,006.42, 17,947.51 and 7,341.48

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Solution

The fourth proportional to 13,006.42, 17,947.51 and 7,341.48 is: 10,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.42 : 17,947.51 = 7,341.48 : x
  2. Step 2: Convert to fraction form
    13,006.42/17,947.51 = 7,341.48/x
  3. Step 3: Cross multiply
    13,006.42x = 17,947.51 × 7,341.48
  4. Step 4: Simplify right side
    13,006.42x = 131,761,267.36
  5. Step 5: Solve for x
    x = 131,761,267.36/13,006.42
  6. Step 6: Final answer
    x = 10,130.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.