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Finding the Fourth Proportional to 14,617.60, 20,172.80 and 8,328.96

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Solution

The fourth proportional to 14,617.60, 20,172.80 and 8,328.96 is: 11,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.60 : 20,172.80 = 8,328.96 : x
  2. Step 2: Convert to fraction form
    14,617.60/20,172.80 = 8,328.96/x
  3. Step 3: Cross multiply
    14,617.60x = 20,172.80 × 8,328.96
  4. Step 4: Simplify right side
    14,617.60x = 168,018,444.29
  5. Step 5: Solve for x
    x = 168,018,444.29/14,617.60
  6. Step 6: Final answer
    x = 11,494.26

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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.