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Finding the Fourth Proportional to 13,749.21, 18,973.93 and 7,461.59

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Solution

The fourth proportional to 13,749.21, 18,973.93 and 7,461.59 is: 10,297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.21 : 18,973.93 = 7,461.59 : x
  2. Step 2: Convert to fraction form
    13,749.21/18,973.93 = 7,461.59/x
  3. Step 3: Cross multiply
    13,749.21x = 18,973.93 × 7,461.59
  4. Step 4: Simplify right side
    13,749.21x = 141,575,686.35
  5. Step 5: Solve for x
    x = 141,575,686.35/13,749.21
  6. Step 6: Final answer
    x = 10,297.01

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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.