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Finding the Fourth Proportional to 20,030, 30,055.72 and 13,008.36

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Solution

The fourth proportional to 20,030, 30,055.72 and 13,008.36 is: 19,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,030 : 30,055.72 = 13,008.36 : x
  2. Step 2: Convert to fraction form
    20,030/30,055.72 = 13,008.36/x
  3. Step 3: Cross multiply
    20,030x = 30,055.72 × 13,008.36
  4. Step 4: Simplify right side
    20,030x = 390,975,625.82
  5. Step 5: Solve for x
    x = 390,975,625.82/20,030
  6. Step 6: Final answer
    x = 19,519.50

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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.