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Finding the Fourth Proportional to 15,455.58, 23,185 and 5,068.14

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Solution

The fourth proportional to 15,455.58, 23,185 and 5,068.14 is: 7,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,455.58 : 23,185 = 5,068.14 : x
  2. Step 2: Convert to fraction form
    15,455.58/23,185 = 5,068.14/x
  3. Step 3: Cross multiply
    15,455.58x = 23,185 × 5,068.14
  4. Step 4: Simplify right side
    15,455.58x = 117,504,825.90
  5. Step 5: Solve for x
    x = 117,504,825.90/15,455.58
  6. Step 6: Final answer
    x = 7,602.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.