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Finding the Fourth Proportional to 25,774.49, 38,661.71 and 7,054.69

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Solution

The fourth proportional to 25,774.49, 38,661.71 and 7,054.69 is: 10,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,774.49 : 38,661.71 = 7,054.69 : x
  2. Step 2: Convert to fraction form
    25,774.49/38,661.71 = 7,054.69/x
  3. Step 3: Cross multiply
    25,774.49x = 38,661.71 × 7,054.69
  4. Step 4: Simplify right side
    25,774.49x = 272,746,246.99
  5. Step 5: Solve for x
    x = 272,746,246.99/25,774.49
  6. Step 6: Final answer
    x = 10,582.03

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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.