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Finding the Fourth Proportional to 21,477.60, 32,254.80 and 15,640.80

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Solution

The fourth proportional to 21,477.60, 32,254.80 and 15,640.80 is: 23,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477.60 : 32,254.80 = 15,640.80 : x
  2. Step 2: Convert to fraction form
    21,477.60/32,254.80 = 15,640.80/x
  3. Step 3: Cross multiply
    21,477.60x = 32,254.80 × 15,640.80
  4. Step 4: Simplify right side
    21,477.60x = 504,490,875.84
  5. Step 5: Solve for x
    x = 504,490,875.84/21,477.60
  6. Step 6: Final answer
    x = 23,489.16

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