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Finding the Fourth Proportional to 38,567.34, 57,855.42 and 13,602.06

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Solution

The fourth proportional to 38,567.34, 57,855.42 and 13,602.06 is: 20,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,567.34 : 57,855.42 = 13,602.06 : x
  2. Step 2: Convert to fraction form
    38,567.34/57,855.42 = 13,602.06/x
  3. Step 3: Cross multiply
    38,567.34x = 57,855.42 × 13,602.06
  4. Step 4: Simplify right side
    38,567.34x = 786,952,894.17
  5. Step 5: Solve for x
    x = 786,952,894.17/38,567.34
  6. Step 6: Final answer
    x = 20,404.65

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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.