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Finding the Fourth Proportional to 23,240.94, 32,071.17 and 12,630.51

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Solution

The fourth proportional to 23,240.94, 32,071.17 and 12,630.51 is: 17,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,240.94 : 32,071.17 = 12,630.51 : x
  2. Step 2: Convert to fraction form
    23,240.94/32,071.17 = 12,630.51/x
  3. Step 3: Cross multiply
    23,240.94x = 32,071.17 × 12,630.51
  4. Step 4: Simplify right side
    23,240.94x = 405,075,233.40
  5. Step 5: Solve for x
    x = 405,075,233.40/23,240.94
  6. Step 6: Final answer
    x = 17,429.38

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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.