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Finding the Fourth Proportional to 25,289.28, 34,902.72 and 14,112

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Solution

The fourth proportional to 25,289.28, 34,902.72 and 14,112 is: 19,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,289.28 : 34,902.72 = 14,112 : x
  2. Step 2: Convert to fraction form
    25,289.28/34,902.72 = 14,112/x
  3. Step 3: Cross multiply
    25,289.28x = 34,902.72 × 14,112
  4. Step 4: Simplify right side
    25,289.28x = 492,547,184.64
  5. Step 5: Solve for x
    x = 492,547,184.64/25,289.28
  6. Step 6: Final answer
    x = 19,476.52

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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.