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Finding the Fourth Proportional to 13,259.83, 18,301.35 and 8,411.42

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Solution

The fourth proportional to 13,259.83, 18,301.35 and 8,411.42 is: 11,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259.83 : 18,301.35 = 8,411.42 : x
  2. Step 2: Convert to fraction form
    13,259.83/18,301.35 = 8,411.42/x
  3. Step 3: Cross multiply
    13,259.83x = 18,301.35 × 8,411.42
  4. Step 4: Simplify right side
    13,259.83x = 153,940,341.42
  5. Step 5: Solve for x
    x = 153,940,341.42/13,259.83
  6. Step 6: Final answer
    x = 11,609.53

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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.