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Finding the Fourth Proportional to 15,794.34, 23,677.54 and 6,442.18

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Solution

The fourth proportional to 15,794.34, 23,677.54 and 6,442.18 is: 9,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794.34 : 23,677.54 = 6,442.18 : x
  2. Step 2: Convert to fraction form
    15,794.34/23,677.54 = 6,442.18/x
  3. Step 3: Cross multiply
    15,794.34x = 23,677.54 × 6,442.18
  4. Step 4: Simplify right side
    15,794.34x = 152,534,935.58
  5. Step 5: Solve for x
    x = 152,534,935.58/15,794.34
  6. Step 6: Final answer
    x = 9,657.57

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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.