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Finding the Fourth Proportional to 14,403.36, 19,871.28 and 9,680.16

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Solution

The fourth proportional to 14,403.36, 19,871.28 and 9,680.16 is: 13,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,403.36 : 19,871.28 = 9,680.16 : x
  2. Step 2: Convert to fraction form
    14,403.36/19,871.28 = 9,680.16/x
  3. Step 3: Cross multiply
    14,403.36x = 19,871.28 × 9,680.16
  4. Step 4: Simplify right side
    14,403.36x = 192,357,169.80
  5. Step 5: Solve for x
    x = 192,357,169.80/14,403.36
  6. Step 6: Final answer
    x = 13,355.02

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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.