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Finding the Fourth Proportional to 23,259.93, 32,098.35 and 12,649.32

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Solution

The fourth proportional to 23,259.93, 32,098.35 and 12,649.32 is: 17,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,259.93 : 32,098.35 = 12,649.32 : x
  2. Step 2: Convert to fraction form
    23,259.93/32,098.35 = 12,649.32/x
  3. Step 3: Cross multiply
    23,259.93x = 32,098.35 × 12,649.32
  4. Step 4: Simplify right side
    23,259.93x = 406,022,300.62
  5. Step 5: Solve for x
    x = 406,022,300.62/23,259.93
  6. Step 6: Final answer
    x = 17,455.87

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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.