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Finding the Fourth Proportional to 19,442.62, 29,168.58 and 6,295

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Solution

The fourth proportional to 19,442.62, 29,168.58 and 6,295 is: 9,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,442.62 : 29,168.58 = 6,295 : x
  2. Step 2: Convert to fraction form
    19,442.62/29,168.58 = 6,295/x
  3. Step 3: Cross multiply
    19,442.62x = 29,168.58 × 6,295
  4. Step 4: Simplify right side
    19,442.62x = 183,616,211.10
  5. Step 5: Solve for x
    x = 183,616,211.10/19,442.62
  6. Step 6: Final answer
    x = 9,444.01

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