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Finding the Fourth Proportional to 21,662.16, 32,451.78 and 12,870.36

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Solution

The fourth proportional to 21,662.16, 32,451.78 and 12,870.36 is: 19,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.16 : 32,451.78 = 12,870.36 : x
  2. Step 2: Convert to fraction form
    21,662.16/32,451.78 = 12,870.36/x
  3. Step 3: Cross multiply
    21,662.16x = 32,451.78 × 12,870.36
  4. Step 4: Simplify right side
    21,662.16x = 417,666,091.24
  5. Step 5: Solve for x
    x = 417,666,091.24/21,662.16
  6. Step 6: Final answer
    x = 19,280.91

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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.