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Finding the Fourth Proportional to 25,785.95, 38,678.95 and 7,066.14

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Solution

The fourth proportional to 25,785.95, 38,678.95 and 7,066.14 is: 10,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,785.95 : 38,678.95 = 7,066.14 : x
  2. Step 2: Convert to fraction form
    25,785.95/38,678.95 = 7,066.14/x
  3. Step 3: Cross multiply
    25,785.95x = 38,678.95 × 7,066.14
  4. Step 4: Simplify right side
    25,785.95x = 273,310,875.75
  5. Step 5: Solve for x
    x = 273,310,875.75/25,785.95
  6. Step 6: Final answer
    x = 10,599.22

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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.