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Finding the Fourth Proportional to 16,242, 24,292.62 and 9,562.58

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Solution

The fourth proportional to 16,242, 24,292.62 and 9,562.58 is: 14,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242 : 24,292.62 = 9,562.58 : x
  2. Step 2: Convert to fraction form
    16,242/24,292.62 = 9,562.58/x
  3. Step 3: Cross multiply
    16,242x = 24,292.62 × 9,562.58
  4. Step 4: Simplify right side
    16,242x = 232,300,182.89
  5. Step 5: Solve for x
    x = 232,300,182.89/16,242
  6. Step 6: Final answer
    x = 14,302.44

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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.