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Finding the Fourth Proportional to 19,670.58, 29,494.80 and 7,014.06

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Solution

The fourth proportional to 19,670.58, 29,494.80 and 7,014.06 is: 10,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.58 : 29,494.80 = 7,014.06 : x
  2. Step 2: Convert to fraction form
    19,670.58/29,494.80 = 7,014.06/x
  3. Step 3: Cross multiply
    19,670.58x = 29,494.80 × 7,014.06
  4. Step 4: Simplify right side
    19,670.58x = 206,878,296.89
  5. Step 5: Solve for x
    x = 206,878,296.89/19,670.58
  6. Step 6: Final answer
    x = 10,517.14

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Why These Related Problems?

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