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Finding the Fourth Proportional to 25,308.96, 37,956.80 and 7,534.85

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Solution

The fourth proportional to 25,308.96, 37,956.80 and 7,534.85 is: 11,300.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,308.96 : 37,956.80 = 7,534.85 : x
  2. Step 2: Convert to fraction form
    25,308.96/37,956.80 = 7,534.85/x
  3. Step 3: Cross multiply
    25,308.96x = 37,956.80 × 7,534.85
  4. Step 4: Simplify right side
    25,308.96x = 285,998,567.02
  5. Step 5: Solve for x
    x = 285,998,567.02/25,308.96
  6. Step 6: Final answer
    x = 11,300.29

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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.