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Finding the Fourth Proportional to 12,017.80, 18,002.40 and 9,830.80

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Solution

The fourth proportional to 12,017.80, 18,002.40 and 9,830.80 is: 14,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.80 : 18,002.40 = 9,830.80 : x
  2. Step 2: Convert to fraction form
    12,017.80/18,002.40 = 9,830.80/x
  3. Step 3: Cross multiply
    12,017.80x = 18,002.40 × 9,830.80
  4. Step 4: Simplify right side
    12,017.80x = 176,977,993.92
  5. Step 5: Solve for x
    x = 176,977,993.92/12,017.80
  6. Step 6: Final answer
    x = 14,726.32

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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.