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Finding the Fourth Proportional to 16,874.64, 25,307.91 and 6,341.67

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Solution

The fourth proportional to 16,874.64, 25,307.91 and 6,341.67 is: 9,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874.64 : 25,307.91 = 6,341.67 : x
  2. Step 2: Convert to fraction form
    16,874.64/25,307.91 = 6,341.67/x
  3. Step 3: Cross multiply
    16,874.64x = 25,307.91 × 6,341.67
  4. Step 4: Simplify right side
    16,874.64x = 160,494,413.61
  5. Step 5: Solve for x
    x = 160,494,413.61/16,874.64
  6. Step 6: Final answer
    x = 9,510.98

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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.