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Finding the Fourth Proportional to 13,710.63, 18,918.61 and 7,742.16

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Solution

The fourth proportional to 13,710.63, 18,918.61 and 7,742.16 is: 10,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.63 : 18,918.61 = 7,742.16 : x
  2. Step 2: Convert to fraction form
    13,710.63/18,918.61 = 7,742.16/x
  3. Step 3: Cross multiply
    13,710.63x = 18,918.61 × 7,742.16
  4. Step 4: Simplify right side
    13,710.63x = 146,470,905.60
  5. Step 5: Solve for x
    x = 146,470,905.60/13,710.63
  6. Step 6: Final answer
    x = 10,683.02

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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.