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Finding the Fourth Proportional to 23,618.51, 32,593.15 and 13,009.13

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Solution

The fourth proportional to 23,618.51, 32,593.15 and 13,009.13 is: 17,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,618.51 : 32,593.15 = 13,009.13 : x
  2. Step 2: Convert to fraction form
    23,618.51/32,593.15 = 13,009.13/x
  3. Step 3: Cross multiply
    23,618.51x = 32,593.15 × 13,009.13
  4. Step 4: Simplify right side
    23,618.51x = 424,008,525.46
  5. Step 5: Solve for x
    x = 424,008,525.46/23,618.51
  6. Step 6: Final answer
    x = 17,952.38

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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.