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Finding the Fourth Proportional to 13,405.43, 18,495.74 and 10,564.00

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Solution

The fourth proportional to 13,405.43, 18,495.74 and 10,564.00 is: 14,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.43 : 18,495.74 = 10,564.00 : x
  2. Step 2: Convert to fraction form
    13,405.43/18,495.74 = 10,564.00/x
  3. Step 3: Cross multiply
    13,405.43x = 18,495.74 × 10,564.00
  4. Step 4: Simplify right side
    13,405.43x = 195,389,081.57
  5. Step 5: Solve for x
    x = 195,389,081.57/13,405.43
  6. Step 6: Final answer
    x = 14,575.37

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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.