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Finding the Fourth Proportional to 38,698.14, 58,048.51 and 13,740.14

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Solution

The fourth proportional to 38,698.14, 58,048.51 and 13,740.14 is: 20,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,698.14 : 58,048.51 = 13,740.14 : x
  2. Step 2: Convert to fraction form
    38,698.14/58,048.51 = 13,740.14/x
  3. Step 3: Cross multiply
    38,698.14x = 58,048.51 × 13,740.14
  4. Step 4: Simplify right side
    38,698.14x = 797,594,512.25
  5. Step 5: Solve for x
    x = 797,594,512.25/38,698.14
  6. Step 6: Final answer
    x = 20,610.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.