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Finding the Fourth Proportional to 25,775.46, 38,661.77 and 7,054.14

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Solution

The fourth proportional to 25,775.46, 38,661.77 and 7,054.14 is: 10,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,775.46 : 38,661.77 = 7,054.14 : x
  2. Step 2: Convert to fraction form
    25,775.46/38,661.77 = 7,054.14/x
  3. Step 3: Cross multiply
    25,775.46x = 38,661.77 × 7,054.14
  4. Step 4: Simplify right side
    25,775.46x = 272,725,538.23
  5. Step 5: Solve for x
    x = 272,725,538.23/25,775.46
  6. Step 6: Final answer
    x = 10,580.82

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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.