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Finding the Fourth Proportional to 25,897.14, 38,840.09 and 9,258.33

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Solution

The fourth proportional to 25,897.14, 38,840.09 and 9,258.33 is: 13,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.14 : 38,840.09 = 9,258.33 : x
  2. Step 2: Convert to fraction form
    25,897.14/38,840.09 = 9,258.33/x
  3. Step 3: Cross multiply
    25,897.14x = 38,840.09 × 9,258.33
  4. Step 4: Simplify right side
    25,897.14x = 359,594,370.45
  5. Step 5: Solve for x
    x = 359,594,370.45/25,897.14
  6. Step 6: Final answer
    x = 13,885.49

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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.