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Finding the Fourth Proportional to 25,116.84, 34,662.96 and 14,507.28

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Solution

The fourth proportional to 25,116.84, 34,662.96 and 14,507.28 is: 20,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,116.84 : 34,662.96 = 14,507.28 : x
  2. Step 2: Convert to fraction form
    25,116.84/34,662.96 = 14,507.28/x
  3. Step 3: Cross multiply
    25,116.84x = 34,662.96 × 14,507.28
  4. Step 4: Simplify right side
    25,116.84x = 502,865,266.35
  5. Step 5: Solve for x
    x = 502,865,266.35/25,116.84
  6. Step 6: Final answer
    x = 20,021.04

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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.