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Finding the Fourth Proportional to 15,662.34, 23,493.06 and 5,801.40

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Solution

The fourth proportional to 15,662.34, 23,493.06 and 5,801.40 is: 8,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,662.34 : 23,493.06 = 5,801.40 : x
  2. Step 2: Convert to fraction form
    15,662.34/23,493.06 = 5,801.40/x
  3. Step 3: Cross multiply
    15,662.34x = 23,493.06 × 5,801.40
  4. Step 4: Simplify right side
    15,662.34x = 136,292,638.28
  5. Step 5: Solve for x
    x = 136,292,638.28/15,662.34
  6. Step 6: Final answer
    x = 8,701.93

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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.