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Finding the Fourth Proportional to 19,370.42, 29,055.63 and 13,538.42

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Solution

The fourth proportional to 19,370.42, 29,055.63 and 13,538.42 is: 20,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,370.42 : 29,055.63 = 13,538.42 : x
  2. Step 2: Convert to fraction form
    19,370.42/29,055.63 = 13,538.42/x
  3. Step 3: Cross multiply
    19,370.42x = 29,055.63 × 13,538.42
  4. Step 4: Simplify right side
    19,370.42x = 393,367,322.30
  5. Step 5: Solve for x
    x = 393,367,322.30/19,370.42
  6. Step 6: Final answer
    x = 20,307.63

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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.