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Finding the Fourth Proportional to 23,637.51, 32,629.50 and 14,204.25

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Solution

The fourth proportional to 23,637.51, 32,629.50 and 14,204.25 is: 19,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,637.51 : 32,629.50 = 14,204.25 : x
  2. Step 2: Convert to fraction form
    23,637.51/32,629.50 = 14,204.25/x
  3. Step 3: Cross multiply
    23,637.51x = 32,629.50 × 14,204.25
  4. Step 4: Simplify right side
    23,637.51x = 463,477,575.38
  5. Step 5: Solve for x
    x = 463,477,575.38/23,637.51
  6. Step 6: Final answer
    x = 19,607.72

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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.