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Finding the Fourth Proportional to 25,897.32, 38,848.14 and 11,102.67

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Solution

The fourth proportional to 25,897.32, 38,848.14 and 11,102.67 is: 16,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.32 : 38,848.14 = 11,102.67 : x
  2. Step 2: Convert to fraction form
    25,897.32/38,848.14 = 11,102.67/x
  3. Step 3: Cross multiply
    25,897.32x = 38,848.14 × 11,102.67
  4. Step 4: Simplify right side
    25,897.32x = 431,318,078.53
  5. Step 5: Solve for x
    x = 431,318,078.53/25,897.32
  6. Step 6: Final answer
    x = 16,654.93

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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.