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Finding the Fourth Proportional to 25,741.03, 38,603.32 and 8,206.75

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Solution

The fourth proportional to 25,741.03, 38,603.32 and 8,206.75 is: 12,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,741.03 : 38,603.32 = 8,206.75 : x
  2. Step 2: Convert to fraction form
    25,741.03/38,603.32 = 8,206.75/x
  3. Step 3: Cross multiply
    25,741.03x = 38,603.32 × 8,206.75
  4. Step 4: Simplify right side
    25,741.03x = 316,807,796.41
  5. Step 5: Solve for x
    x = 316,807,796.41/25,741.03
  6. Step 6: Final answer
    x = 12,307.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.