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Finding the Fourth Proportional to 15,804.31, 23,655.02 and 11,642.68

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Solution

The fourth proportional to 15,804.31, 23,655.02 and 11,642.68 is: 17,426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804.31 : 23,655.02 = 11,642.68 : x
  2. Step 2: Convert to fraction form
    15,804.31/23,655.02 = 11,642.68/x
  3. Step 3: Cross multiply
    15,804.31x = 23,655.02 × 11,642.68
  4. Step 4: Simplify right side
    15,804.31x = 275,407,828.25
  5. Step 5: Solve for x
    x = 275,407,828.25/15,804.31
  6. Step 6: Final answer
    x = 17,426.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.