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Finding the Fourth Proportional to 13,347.12, 18,419.25 and 7,758.12

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Solution

The fourth proportional to 13,347.12, 18,419.25 and 7,758.12 is: 10,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,347.12 : 18,419.25 = 7,758.12 : x
  2. Step 2: Convert to fraction form
    13,347.12/18,419.25 = 7,758.12/x
  3. Step 3: Cross multiply
    13,347.12x = 18,419.25 × 7,758.12
  4. Step 4: Simplify right side
    13,347.12x = 142,898,751.81
  5. Step 5: Solve for x
    x = 142,898,751.81/13,347.12
  6. Step 6: Final answer
    x = 10,706.34

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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.