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Finding the Fourth Proportional to 12,358.90, 18,538.20 and 2,999

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Solution

The fourth proportional to 12,358.90, 18,538.20 and 2,999 is: 4,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.90 : 18,538.20 = 2,999 : x
  2. Step 2: Convert to fraction form
    12,358.90/18,538.20 = 2,999/x
  3. Step 3: Cross multiply
    12,358.90x = 18,538.20 × 2,999
  4. Step 4: Simplify right side
    12,358.90x = 55,596,061.80
  5. Step 5: Solve for x
    x = 55,596,061.80/12,358.90
  6. Step 6: Final answer
    x = 4,498.46

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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.