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Finding the Fourth Proportional to 18,946.40, 28,421.76 and 7,854.44

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Solution

The fourth proportional to 18,946.40, 28,421.76 and 7,854.44 is: 11,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,946.40 : 28,421.76 = 7,854.44 : x
  2. Step 2: Convert to fraction form
    18,946.40/28,421.76 = 7,854.44/x
  3. Step 3: Cross multiply
    18,946.40x = 28,421.76 × 7,854.44
  4. Step 4: Simplify right side
    18,946.40x = 223,237,008.61
  5. Step 5: Solve for x
    x = 223,237,008.61/18,946.40
  6. Step 6: Final answer
    x = 11,782.56

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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.