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Finding the Fourth Proportional to 13,705.35, 20,558.52 and 7,040.06

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Solution

The fourth proportional to 13,705.35, 20,558.52 and 7,040.06 is: 10,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.35 : 20,558.52 = 7,040.06 : x
  2. Step 2: Convert to fraction form
    13,705.35/20,558.52 = 7,040.06/x
  3. Step 3: Cross multiply
    13,705.35x = 20,558.52 × 7,040.06
  4. Step 4: Simplify right side
    13,705.35x = 144,733,111.52
  5. Step 5: Solve for x
    x = 144,733,111.52/13,705.35
  6. Step 6: Final answer
    x = 10,560.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.