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Finding the Fourth Proportional to 16,707.88, 23,056.87 and 9,257.32

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Solution

The fourth proportional to 16,707.88, 23,056.87 and 9,257.32 is: 12,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,707.88 : 23,056.87 = 9,257.32 : x
  2. Step 2: Convert to fraction form
    16,707.88/23,056.87 = 9,257.32/x
  3. Step 3: Cross multiply
    16,707.88x = 23,056.87 × 9,257.32
  4. Step 4: Simplify right side
    16,707.88x = 213,444,823.79
  5. Step 5: Solve for x
    x = 213,444,823.79/16,707.88
  6. Step 6: Final answer
    x = 12,775.10

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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.