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Finding the Fourth Proportional to 13,705.42, 18,913.53 and 7,417.80

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Solution

The fourth proportional to 13,705.42, 18,913.53 and 7,417.80 is: 10,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.42 : 18,913.53 = 7,417.80 : x
  2. Step 2: Convert to fraction form
    13,705.42/18,913.53 = 7,417.80/x
  3. Step 3: Cross multiply
    13,705.42x = 18,913.53 × 7,417.80
  4. Step 4: Simplify right side
    13,705.42x = 140,296,782.83
  5. Step 5: Solve for x
    x = 140,296,782.83/13,705.42
  6. Step 6: Final answer
    x = 10,236.59

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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.