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Finding the Fourth Proportional to 14,835.16, 20,470.53 and 8,546.32

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Solution

The fourth proportional to 14,835.16, 20,470.53 and 8,546.32 is: 11,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835.16 : 20,470.53 = 8,546.32 : x
  2. Step 2: Convert to fraction form
    14,835.16/20,470.53 = 8,546.32/x
  3. Step 3: Cross multiply
    14,835.16x = 20,470.53 × 8,546.32
  4. Step 4: Simplify right side
    14,835.16x = 174,947,699.95
  5. Step 5: Solve for x
    x = 174,947,699.95/14,835.16
  6. Step 6: Final answer
    x = 11,792.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.