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Finding the Fourth Proportional to 14,530.54, 20,051.25 and 8,158

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Solution

The fourth proportional to 14,530.54, 20,051.25 and 8,158 is: 11,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530.54 : 20,051.25 = 8,158 : x
  2. Step 2: Convert to fraction form
    14,530.54/20,051.25 = 8,158/x
  3. Step 3: Cross multiply
    14,530.54x = 20,051.25 × 8,158
  4. Step 4: Simplify right side
    14,530.54x = 163,578,097.50
  5. Step 5: Solve for x
    x = 163,578,097.50/14,530.54
  6. Step 6: Final answer
    x = 11,257.54

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Why These Related Problems?

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