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Finding the Fourth Proportional to 21,397.60, 32,096.40 and 14,399.20

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Solution

The fourth proportional to 21,397.60, 32,096.40 and 14,399.20 is: 21,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,397.60 : 32,096.40 = 14,399.20 : x
  2. Step 2: Convert to fraction form
    21,397.60/32,096.40 = 14,399.20/x
  3. Step 3: Cross multiply
    21,397.60x = 32,096.40 × 14,399.20
  4. Step 4: Simplify right side
    21,397.60x = 462,162,482.88
  5. Step 5: Solve for x
    x = 462,162,482.88/21,397.60
  6. Step 6: Final answer
    x = 21,598.80

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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.