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Finding the Fourth Proportional to 25,435.66, 35,099.31 and 14,255.50

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Solution

The fourth proportional to 25,435.66, 35,099.31 and 14,255.50 is: 19,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435.66 : 35,099.31 = 14,255.50 : x
  2. Step 2: Convert to fraction form
    25,435.66/35,099.31 = 14,255.50/x
  3. Step 3: Cross multiply
    25,435.66x = 35,099.31 × 14,255.50
  4. Step 4: Simplify right side
    25,435.66x = 500,358,213.71
  5. Step 5: Solve for x
    x = 500,358,213.71/25,435.66
  6. Step 6: Final answer
    x = 19,671.52

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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.