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Finding the Fourth Proportional to 16,707.50, 23,056.34 and 9,154.31

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Solution

The fourth proportional to 16,707.50, 23,056.34 and 9,154.31 is: 12,632.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,707.50 : 23,056.34 = 9,154.31 : x
  2. Step 2: Convert to fraction form
    16,707.50/23,056.34 = 9,154.31/x
  3. Step 3: Cross multiply
    16,707.50x = 23,056.34 × 9,154.31
  4. Step 4: Simplify right side
    16,707.50x = 211,064,722.77
  5. Step 5: Solve for x
    x = 211,064,722.77/16,707.50
  6. Step 6: Final answer
    x = 12,632.94

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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.