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Finding the Fourth Proportional to 28,255.32, 42,374.16 and 9,783

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Solution

The fourth proportional to 28,255.32, 42,374.16 and 9,783 is: 14,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,255.32 : 42,374.16 = 9,783 : x
  2. Step 2: Convert to fraction form
    28,255.32/42,374.16 = 9,783/x
  3. Step 3: Cross multiply
    28,255.32x = 42,374.16 × 9,783
  4. Step 4: Simplify right side
    28,255.32x = 414,546,407.28
  5. Step 5: Solve for x
    x = 414,546,407.28/28,255.32
  6. Step 6: Final answer
    x = 14,671.45

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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.