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Finding the Fourth Proportional to 28,223.64, 42,307.92 and 13,428.59

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Solution

The fourth proportional to 28,223.64, 42,307.92 and 13,428.59 is: 20,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,223.64 : 42,307.92 = 13,428.59 : x
  2. Step 2: Convert to fraction form
    28,223.64/42,307.92 = 13,428.59/x
  3. Step 3: Cross multiply
    28,223.64x = 42,307.92 × 13,428.59
  4. Step 4: Simplify right side
    28,223.64x = 568,135,499.89
  5. Step 5: Solve for x
    x = 568,135,499.89/28,223.64
  6. Step 6: Final answer
    x = 20,129.77

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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.