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Finding the Fourth Proportional to 13,330.74, 19,996.14 and 3,470.01

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Solution

The fourth proportional to 13,330.74, 19,996.14 and 3,470.01 is: 5,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,330.74 : 19,996.14 = 3,470.01 : x
  2. Step 2: Convert to fraction form
    13,330.74/19,996.14 = 3,470.01/x
  3. Step 3: Cross multiply
    13,330.74x = 19,996.14 × 3,470.01
  4. Step 4: Simplify right side
    13,330.74x = 69,386,805.76
  5. Step 5: Solve for x
    x = 69,386,805.76/13,330.74
  6. Step 6: Final answer
    x = 5,205.02

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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.