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Finding the Fourth Proportional to 23,804.31, 32,852.07 and 15,326.68

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Solution

The fourth proportional to 23,804.31, 32,852.07 and 15,326.68 is: 21,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.31 : 32,852.07 = 15,326.68 : x
  2. Step 2: Convert to fraction form
    23,804.31/32,852.07 = 15,326.68/x
  3. Step 3: Cross multiply
    23,804.31x = 32,852.07 × 15,326.68
  4. Step 4: Simplify right side
    23,804.31x = 503,513,320.78
  5. Step 5: Solve for x
    x = 503,513,320.78/23,804.31
  6. Step 6: Final answer
    x = 21,152.19

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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.