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Finding the Fourth Proportional to 23,289, 32,137.74 and 12,677.96

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Solution

The fourth proportional to 23,289, 32,137.74 and 12,677.96 is: 17,495.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,289 : 32,137.74 = 12,677.96 : x
  2. Step 2: Convert to fraction form
    23,289/32,137.74 = 12,677.96/x
  3. Step 3: Cross multiply
    23,289x = 32,137.74 × 12,677.96
  4. Step 4: Simplify right side
    23,289x = 407,440,982.21
  5. Step 5: Solve for x
    x = 407,440,982.21/23,289
  6. Step 6: Final answer
    x = 17,495.00

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Why These Related Problems?

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