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Finding the Fourth Proportional to 23,175, 31,981.32 and 12,564.36

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Solution

The fourth proportional to 23,175, 31,981.32 and 12,564.36 is: 17,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175 : 31,981.32 = 12,564.36 : x
  2. Step 2: Convert to fraction form
    23,175/31,981.32 = 12,564.36/x
  3. Step 3: Cross multiply
    23,175x = 31,981.32 × 12,564.36
  4. Step 4: Simplify right side
    23,175x = 401,824,817.76
  5. Step 5: Solve for x
    x = 401,824,817.76/23,175
  6. Step 6: Final answer
    x = 17,338.72

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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.