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Finding the Fourth Proportional to 28,644.60, 42,966.90 and 7,584.60

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Solution

The fourth proportional to 28,644.60, 42,966.90 and 7,584.60 is: 11,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,644.60 : 42,966.90 = 7,584.60 : x
  2. Step 2: Convert to fraction form
    28,644.60/42,966.90 = 7,584.60/x
  3. Step 3: Cross multiply
    28,644.60x = 42,966.90 × 7,584.60
  4. Step 4: Simplify right side
    28,644.60x = 325,886,749.74
  5. Step 5: Solve for x
    x = 325,886,749.74/28,644.60
  6. Step 6: Final answer
    x = 11,376.90

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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.