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Finding the Fourth Proportional to 23,483.40, 32,405.64 and 12,871

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Solution

The fourth proportional to 23,483.40, 32,405.64 and 12,871 is: 17,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,483.40 : 32,405.64 = 12,871 : x
  2. Step 2: Convert to fraction form
    23,483.40/32,405.64 = 12,871/x
  3. Step 3: Cross multiply
    23,483.40x = 32,405.64 × 12,871
  4. Step 4: Simplify right side
    23,483.40x = 417,092,992.44
  5. Step 5: Solve for x
    x = 417,092,992.44/23,483.40
  6. Step 6: Final answer
    x = 17,761.18

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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.