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Finding the Fourth Proportional to 20,119.58, 30,180 and 9,590.74

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Solution

The fourth proportional to 20,119.58, 30,180 and 9,590.74 is: 14,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.58 : 30,180 = 9,590.74 : x
  2. Step 2: Convert to fraction form
    20,119.58/30,180 = 9,590.74/x
  3. Step 3: Cross multiply
    20,119.58x = 30,180 × 9,590.74
  4. Step 4: Simplify right side
    20,119.58x = 289,448,533.20
  5. Step 5: Solve for x
    x = 289,448,533.20/20,119.58
  6. Step 6: Final answer
    x = 14,386.41

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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.