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Finding the Fourth Proportional to 16,671.54, 23,005.98 and 9,596.46

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Solution

The fourth proportional to 16,671.54, 23,005.98 and 9,596.46 is: 13,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,671.54 : 23,005.98 = 9,596.46 : x
  2. Step 2: Convert to fraction form
    16,671.54/23,005.98 = 9,596.46/x
  3. Step 3: Cross multiply
    16,671.54x = 23,005.98 × 9,596.46
  4. Step 4: Simplify right side
    16,671.54x = 220,775,966.83
  5. Step 5: Solve for x
    x = 220,775,966.83/16,671.54
  6. Step 6: Final answer
    x = 13,242.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.