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Finding the Fourth Proportional to 14,478.54, 19,980.48 and 8,192.16

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Solution

The fourth proportional to 14,478.54, 19,980.48 and 8,192.16 is: 11,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.54 : 19,980.48 = 8,192.16 : x
  2. Step 2: Convert to fraction form
    14,478.54/19,980.48 = 8,192.16/x
  3. Step 3: Cross multiply
    14,478.54x = 19,980.48 × 8,192.16
  4. Step 4: Simplify right side
    14,478.54x = 163,683,289.04
  5. Step 5: Solve for x
    x = 163,683,289.04/14,478.54
  6. Step 6: Final answer
    x = 11,305.23

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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.