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Finding the Fourth Proportional to 13,749.30, 18,973.98 and 7,461.63

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Solution

The fourth proportional to 13,749.30, 18,973.98 and 7,461.63 is: 10,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.30 : 18,973.98 = 7,461.63 : x
  2. Step 2: Convert to fraction form
    13,749.30/18,973.98 = 7,461.63/x
  3. Step 3: Cross multiply
    13,749.30x = 18,973.98 × 7,461.63
  4. Step 4: Simplify right side
    13,749.30x = 141,576,818.39
  5. Step 5: Solve for x
    x = 141,576,818.39/13,749.30
  6. Step 6: Final answer
    x = 10,297.02

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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.