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Finding the Fourth Proportional to 15,665.34, 23,497.56 and 5,804.40

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Solution

The fourth proportional to 15,665.34, 23,497.56 and 5,804.40 is: 8,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.34 : 23,497.56 = 5,804.40 : x
  2. Step 2: Convert to fraction form
    15,665.34/23,497.56 = 5,804.40/x
  3. Step 3: Cross multiply
    15,665.34x = 23,497.56 × 5,804.40
  4. Step 4: Simplify right side
    15,665.34x = 136,389,237.26
  5. Step 5: Solve for x
    x = 136,389,237.26/15,665.34
  6. Step 6: Final answer
    x = 8,706.43

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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.