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Finding the Fourth Proportional to 12,030.20, 18,023.70 and 10,302.20

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Solution

The fourth proportional to 12,030.20, 18,023.70 and 10,302.20 is: 15,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030.20 : 18,023.70 = 10,302.20 : x
  2. Step 2: Convert to fraction form
    12,030.20/18,023.70 = 10,302.20/x
  3. Step 3: Cross multiply
    12,030.20x = 18,023.70 × 10,302.20
  4. Step 4: Simplify right side
    12,030.20x = 185,683,762.14
  5. Step 5: Solve for x
    x = 185,683,762.14/12,030.20
  6. Step 6: Final answer
    x = 15,434.80

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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.