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Finding the Fourth Proportional to 14,842.06, 20,495.93 and 9,546.08

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Solution

The fourth proportional to 14,842.06, 20,495.93 and 9,546.08 is: 13,182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.06 : 20,495.93 = 9,546.08 : x
  2. Step 2: Convert to fraction form
    14,842.06/20,495.93 = 9,546.08/x
  3. Step 3: Cross multiply
    14,842.06x = 20,495.93 × 9,546.08
  4. Step 4: Simplify right side
    14,842.06x = 195,655,787.45
  5. Step 5: Solve for x
    x = 195,655,787.45/14,842.06
  6. Step 6: Final answer
    x = 13,182.52

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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.