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Finding the Fourth Proportional to 21,703.60, 32,555.40 and 14,219.20

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Solution

The fourth proportional to 21,703.60, 32,555.40 and 14,219.20 is: 21,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,703.60 : 32,555.40 = 14,219.20 : x
  2. Step 2: Convert to fraction form
    21,703.60/32,555.40 = 14,219.20/x
  3. Step 3: Cross multiply
    21,703.60x = 32,555.40 × 14,219.20
  4. Step 4: Simplify right side
    21,703.60x = 462,911,743.68
  5. Step 5: Solve for x
    x = 462,911,743.68/21,703.60
  6. Step 6: Final answer
    x = 21,328.80

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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.