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Finding the Fourth Proportional to 13,471.05, 18,590.33 and 7,503.78

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Solution

The fourth proportional to 13,471.05, 18,590.33 and 7,503.78 is: 10,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.05 : 18,590.33 = 7,503.78 : x
  2. Step 2: Convert to fraction form
    13,471.05/18,590.33 = 7,503.78/x
  3. Step 3: Cross multiply
    13,471.05x = 18,590.33 × 7,503.78
  4. Step 4: Simplify right side
    13,471.05x = 139,497,746.45
  5. Step 5: Solve for x
    x = 139,497,746.45/13,471.05
  6. Step 6: Final answer
    x = 10,355.37

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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.