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Finding the Fourth Proportional to 25,702.48, 38,447.10 and 24,127.84

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Solution

The fourth proportional to 25,702.48, 38,447.10 and 24,127.84 is: 36,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.48 : 38,447.10 = 24,127.84 : x
  2. Step 2: Convert to fraction form
    25,702.48/38,447.10 = 24,127.84/x
  3. Step 3: Cross multiply
    25,702.48x = 38,447.10 × 24,127.84
  4. Step 4: Simplify right side
    25,702.48x = 927,645,477.26
  5. Step 5: Solve for x
    x = 927,645,477.26/25,702.48
  6. Step 6: Final answer
    x = 36,091.67

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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.