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Finding the Fourth Proportional to 13,005.92, 17,948.40 and 7,341.80

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Solution

The fourth proportional to 13,005.92, 17,948.40 and 7,341.80 is: 10,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.92 : 17,948.40 = 7,341.80 : x
  2. Step 2: Convert to fraction form
    13,005.92/17,948.40 = 7,341.80/x
  3. Step 3: Cross multiply
    13,005.92x = 17,948.40 × 7,341.80
  4. Step 4: Simplify right side
    13,005.92x = 131,773,563.12
  5. Step 5: Solve for x
    x = 131,773,563.12/13,005.92
  6. Step 6: Final answer
    x = 10,131.81

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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.