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Finding the Fourth Proportional to 25,785.54, 38,678.32 and 7,065.76

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Solution

The fourth proportional to 25,785.54, 38,678.32 and 7,065.76 is: 10,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,785.54 : 38,678.32 = 7,065.76 : x
  2. Step 2: Convert to fraction form
    25,785.54/38,678.32 = 7,065.76/x
  3. Step 3: Cross multiply
    25,785.54x = 38,678.32 × 7,065.76
  4. Step 4: Simplify right side
    25,785.54x = 273,291,726.32
  5. Step 5: Solve for x
    x = 273,291,726.32/25,785.54
  6. Step 6: Final answer
    x = 10,598.64

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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.