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Finding the Fourth Proportional to 14,842.36, 20,470.86 and 9,537.64

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Solution

The fourth proportional to 14,842.36, 20,470.86 and 9,537.64 is: 13,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.36 : 20,470.86 = 9,537.64 : x
  2. Step 2: Convert to fraction form
    14,842.36/20,470.86 = 9,537.64/x
  3. Step 3: Cross multiply
    14,842.36x = 20,470.86 × 9,537.64
  4. Step 4: Simplify right side
    14,842.36x = 195,243,693.17
  5. Step 5: Solve for x
    x = 195,243,693.17/14,842.36
  6. Step 6: Final answer
    x = 13,154.49

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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.