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Finding the Fourth Proportional to 28,205.40, 42,306.90 and 11,559.96

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Solution

The fourth proportional to 28,205.40, 42,306.90 and 11,559.96 is: 17,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,205.40 : 42,306.90 = 11,559.96 : x
  2. Step 2: Convert to fraction form
    28,205.40/42,306.90 = 11,559.96/x
  3. Step 3: Cross multiply
    28,205.40x = 42,306.90 × 11,559.96
  4. Step 4: Simplify right side
    28,205.40x = 489,066,071.72
  5. Step 5: Solve for x
    x = 489,066,071.72/28,205.40
  6. Step 6: Final answer
    x = 17,339.45

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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.