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Finding the Fourth Proportional to 13,006.35, 17,948.83 and 7,341.34

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Solution

The fourth proportional to 13,006.35, 17,948.83 and 7,341.34 is: 10,131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.35 : 17,948.83 = 7,341.34 : x
  2. Step 2: Convert to fraction form
    13,006.35/17,948.83 = 7,341.34/x
  3. Step 3: Cross multiply
    13,006.35x = 17,948.83 × 7,341.34
  4. Step 4: Simplify right side
    13,006.35x = 131,768,426.93
  5. Step 5: Solve for x
    x = 131,768,426.93/13,006.35
  6. Step 6: Final answer
    x = 10,131.08

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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.