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Finding the Fourth Proportional to 23,637.51, 32,619.60 and 13,027.16

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Solution

The fourth proportional to 23,637.51, 32,619.60 and 13,027.16 is: 17,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,637.51 : 32,619.60 = 13,027.16 : x
  2. Step 2: Convert to fraction form
    23,637.51/32,619.60 = 13,027.16/x
  3. Step 3: Cross multiply
    23,637.51x = 32,619.60 × 13,027.16
  4. Step 4: Simplify right side
    23,637.51x = 424,940,585.24
  5. Step 5: Solve for x
    x = 424,940,585.24/23,637.51
  6. Step 6: Final answer
    x = 17,977.38

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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.