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Finding the Fourth Proportional to 21,411.20, 32,116.80 and 14,412.80

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Solution

The fourth proportional to 21,411.20, 32,116.80 and 14,412.80 is: 21,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411.20 : 32,116.80 = 14,412.80 : x
  2. Step 2: Convert to fraction form
    21,411.20/32,116.80 = 14,412.80/x
  3. Step 3: Cross multiply
    21,411.20x = 32,116.80 × 14,412.80
  4. Step 4: Simplify right side
    21,411.20x = 462,893,015.04
  5. Step 5: Solve for x
    x = 462,893,015.04/21,411.20
  6. Step 6: Final answer
    x = 21,619.20

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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.