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Finding the Fourth Proportional to 21,978.21, 32,967.31 and 14,597.08

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Solution

The fourth proportional to 21,978.21, 32,967.31 and 14,597.08 is: 21,895.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.21 : 32,967.31 = 14,597.08 : x
  2. Step 2: Convert to fraction form
    21,978.21/32,967.31 = 14,597.08/x
  3. Step 3: Cross multiply
    21,978.21x = 32,967.31 × 14,597.08
  4. Step 4: Simplify right side
    21,978.21x = 481,226,461.45
  5. Step 5: Solve for x
    x = 481,226,461.45/21,978.21
  6. Step 6: Final answer
    x = 21,895.62

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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.