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Finding the Fourth Proportional to 12,225.60, 18,308.16 and 7,021.44

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Solution

The fourth proportional to 12,225.60, 18,308.16 and 7,021.44 is: 10,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.60 : 18,308.16 = 7,021.44 : x
  2. Step 2: Convert to fraction form
    12,225.60/18,308.16 = 7,021.44/x
  3. Step 3: Cross multiply
    12,225.60x = 18,308.16 × 7,021.44
  4. Step 4: Simplify right side
    12,225.60x = 128,549,646.95
  5. Step 5: Solve for x
    x = 128,549,646.95/12,225.60
  6. Step 6: Final answer
    x = 10,514.79

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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.