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Finding the Fourth Proportional to 21,430.66, 32,015.65 and 13,872.64

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Solution

The fourth proportional to 21,430.66, 32,015.65 and 13,872.64 is: 20,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,430.66 : 32,015.65 = 13,872.64 : x
  2. Step 2: Convert to fraction form
    21,430.66/32,015.65 = 13,872.64/x
  3. Step 3: Cross multiply
    21,430.66x = 32,015.65 × 13,872.64
  4. Step 4: Simplify right side
    21,430.66x = 444,141,621.50
  5. Step 5: Solve for x
    x = 444,141,621.50/21,430.66
  6. Step 6: Final answer
    x = 20,724.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.