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Finding the Fourth Proportional to 25,435.69, 35,101.35 and 14,257.69

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Solution

The fourth proportional to 25,435.69, 35,101.35 and 14,257.69 is: 19,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435.69 : 35,101.35 = 14,257.69 : x
  2. Step 2: Convert to fraction form
    25,435.69/35,101.35 = 14,257.69/x
  3. Step 3: Cross multiply
    25,435.69x = 35,101.35 × 14,257.69
  4. Step 4: Simplify right side
    25,435.69x = 500,464,079.13
  5. Step 5: Solve for x
    x = 500,464,079.13/25,435.69
  6. Step 6: Final answer
    x = 19,675.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.