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Finding the Fourth Proportional to 25,362.45, 38,043.63 and 9,769.14

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Solution

The fourth proportional to 25,362.45, 38,043.63 and 9,769.14 is: 14,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,362.45 : 38,043.63 = 9,769.14 : x
  2. Step 2: Convert to fraction form
    25,362.45/38,043.63 = 9,769.14/x
  3. Step 3: Cross multiply
    25,362.45x = 38,043.63 × 9,769.14
  4. Step 4: Simplify right side
    25,362.45x = 371,653,547.58
  5. Step 5: Solve for x
    x = 371,653,547.58/25,362.45
  6. Step 6: Final answer
    x = 14,653.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.