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Finding the Fourth Proportional to 28,020.40, 42,017.64 and 8,294.20

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Solution

The fourth proportional to 28,020.40, 42,017.64 and 8,294.20 is: 12,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,020.40 : 42,017.64 = 8,294.20 : x
  2. Step 2: Convert to fraction form
    28,020.40/42,017.64 = 8,294.20/x
  3. Step 3: Cross multiply
    28,020.40x = 42,017.64 × 8,294.20
  4. Step 4: Simplify right side
    28,020.40x = 348,502,709.69
  5. Step 5: Solve for x
    x = 348,502,709.69/28,020.40
  6. Step 6: Final answer
    x = 12,437.46

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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.