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Finding the Fourth Proportional to 12,741.95, 17,580.43 and 7,152.83

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Solution

The fourth proportional to 12,741.95, 17,580.43 and 7,152.83 is: 9,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.95 : 17,580.43 = 7,152.83 : x
  2. Step 2: Convert to fraction form
    12,741.95/17,580.43 = 7,152.83/x
  3. Step 3: Cross multiply
    12,741.95x = 17,580.43 × 7,152.83
  4. Step 4: Simplify right side
    12,741.95x = 125,749,827.12
  5. Step 5: Solve for x
    x = 125,749,827.12/12,741.95
  6. Step 6: Final answer
    x = 9,868.96

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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.