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Finding the Fourth Proportional to 38,465.42, 57,698.58 and 13,506.18

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Solution

The fourth proportional to 38,465.42, 57,698.58 and 13,506.18 is: 20,259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,465.42 : 57,698.58 = 13,506.18 : x
  2. Step 2: Convert to fraction form
    38,465.42/57,698.58 = 13,506.18/x
  3. Step 3: Cross multiply
    38,465.42x = 57,698.58 × 13,506.18
  4. Step 4: Simplify right side
    38,465.42x = 779,287,407.22
  5. Step 5: Solve for x
    x = 779,287,407.22/38,465.42
  6. Step 6: Final answer
    x = 20,259.43

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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.