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Finding the Fourth Proportional to 23,259.48, 32,097.36 and 13,188.84

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Solution

The fourth proportional to 23,259.48, 32,097.36 and 13,188.84 is: 18,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,259.48 : 32,097.36 = 13,188.84 : x
  2. Step 2: Convert to fraction form
    23,259.48/32,097.36 = 13,188.84/x
  3. Step 3: Cross multiply
    23,259.48x = 32,097.36 × 13,188.84
  4. Step 4: Simplify right side
    23,259.48x = 423,326,945.46
  5. Step 5: Solve for x
    x = 423,326,945.46/23,259.48
  6. Step 6: Final answer
    x = 18,200.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.