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Finding the Fourth Proportional to 17,667.48, 24,352.74 and 14,693.16

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Solution

The fourth proportional to 17,667.48, 24,352.74 and 14,693.16 is: 20,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.48 : 24,352.74 = 14,693.16 : x
  2. Step 2: Convert to fraction form
    17,667.48/24,352.74 = 14,693.16/x
  3. Step 3: Cross multiply
    17,667.48x = 24,352.74 × 14,693.16
  4. Step 4: Simplify right side
    17,667.48x = 357,818,705.26
  5. Step 5: Solve for x
    x = 357,818,705.26/17,667.48
  6. Step 6: Final answer
    x = 20,252.96

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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.