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Finding the Fourth Proportional to 12,130.95, 16,741.04 and 6,825.96

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Solution

The fourth proportional to 12,130.95, 16,741.04 and 6,825.96 is: 9,420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.95 : 16,741.04 = 6,825.96 : x
  2. Step 2: Convert to fraction form
    12,130.95/16,741.04 = 6,825.96/x
  3. Step 3: Cross multiply
    12,130.95x = 16,741.04 × 6,825.96
  4. Step 4: Simplify right side
    12,130.95x = 114,273,669.40
  5. Step 5: Solve for x
    x = 114,273,669.40/12,130.95
  6. Step 6: Final answer
    x = 9,420.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.