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Finding the Fourth Proportional to 23,588.51, 32,551.38 and 12,978.11

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Solution

The fourth proportional to 23,588.51, 32,551.38 and 12,978.11 is: 17,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,588.51 : 32,551.38 = 12,978.11 : x
  2. Step 2: Convert to fraction form
    23,588.51/32,551.38 = 12,978.11/x
  3. Step 3: Cross multiply
    23,588.51x = 32,551.38 × 12,978.11
  4. Step 4: Simplify right side
    23,588.51x = 422,455,227.53
  5. Step 5: Solve for x
    x = 422,455,227.53/23,588.51
  6. Step 6: Final answer
    x = 17,909.37

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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.