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Finding the Fourth Proportional to 12,315.47, 18,429.41 and 9,020.39

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Solution

The fourth proportional to 12,315.47, 18,429.41 and 9,020.39 is: 13,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.47 : 18,429.41 = 9,020.39 : x
  2. Step 2: Convert to fraction form
    12,315.47/18,429.41 = 9,020.39/x
  3. Step 3: Cross multiply
    12,315.47x = 18,429.41 × 9,020.39
  4. Step 4: Simplify right side
    12,315.47x = 166,240,328.42
  5. Step 5: Solve for x
    x = 166,240,328.42/12,315.47
  6. Step 6: Final answer
    x = 13,498.50

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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.