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Finding the Fourth Proportional to 25,865.65, 35,691.94 and 14,533.35

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Solution

The fourth proportional to 25,865.65, 35,691.94 and 14,533.35 is: 20,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,865.65 : 35,691.94 = 14,533.35 : x
  2. Step 2: Convert to fraction form
    25,865.65/35,691.94 = 14,533.35/x
  3. Step 3: Cross multiply
    25,865.65x = 35,691.94 × 14,533.35
  4. Step 4: Simplify right side
    25,865.65x = 518,723,241.41
  5. Step 5: Solve for x
    x = 518,723,241.41/25,865.65
  6. Step 6: Final answer
    x = 20,054.52

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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.