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Finding the Fourth Proportional to 16,655.14, 25,014.50 and 9,649.22

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Solution

The fourth proportional to 16,655.14, 25,014.50 and 9,649.22 is: 14,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655.14 : 25,014.50 = 9,649.22 : x
  2. Step 2: Convert to fraction form
    16,655.14/25,014.50 = 9,649.22/x
  3. Step 3: Cross multiply
    16,655.14x = 25,014.50 × 9,649.22
  4. Step 4: Simplify right side
    16,655.14x = 241,370,413.69
  5. Step 5: Solve for x
    x = 241,370,413.69/16,655.14
  6. Step 6: Final answer
    x = 14,492.25

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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.