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Finding the Fourth Proportional to 13,471.16, 18,590.77 and 7,502.83

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Solution

The fourth proportional to 13,471.16, 18,590.77 and 7,502.83 is: 10,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.16 : 18,590.77 = 7,502.83 : x
  2. Step 2: Convert to fraction form
    13,471.16/18,590.77 = 7,502.83/x
  3. Step 3: Cross multiply
    13,471.16x = 18,590.77 × 7,502.83
  4. Step 4: Simplify right side
    13,471.16x = 139,483,293.93
  5. Step 5: Solve for x
    x = 139,483,293.93/13,471.16
  6. Step 6: Final answer
    x = 10,354.22

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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.