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Finding the Fourth Proportional to 16,302.40, 24,421.20 and 9,368.80

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Solution

The fourth proportional to 16,302.40, 24,421.20 and 9,368.80 is: 14,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.40 : 24,421.20 = 9,368.80 : x
  2. Step 2: Convert to fraction form
    16,302.40/24,421.20 = 9,368.80/x
  3. Step 3: Cross multiply
    16,302.40x = 24,421.20 × 9,368.80
  4. Step 4: Simplify right side
    16,302.40x = 228,797,338.56
  5. Step 5: Solve for x
    x = 228,797,338.56/16,302.40
  6. Step 6: Final answer
    x = 14,034.58

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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.