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Finding the Fourth Proportional to 13,471.62, 18,590.40 and 7,503.09

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Solution

The fourth proportional to 13,471.62, 18,590.40 and 7,503.09 is: 10,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.62 : 18,590.40 = 7,503.09 : x
  2. Step 2: Convert to fraction form
    13,471.62/18,590.40 = 7,503.09/x
  3. Step 3: Cross multiply
    13,471.62x = 18,590.40 × 7,503.09
  4. Step 4: Simplify right side
    13,471.62x = 139,485,444.34
  5. Step 5: Solve for x
    x = 139,485,444.34/13,471.62
  6. Step 6: Final answer
    x = 10,354.02

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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.