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Finding the Fourth Proportional to 21,977.46, 32,970.27 and 7,187.16

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Solution

The fourth proportional to 21,977.46, 32,970.27 and 7,187.16 is: 10,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977.46 : 32,970.27 = 7,187.16 : x
  2. Step 2: Convert to fraction form
    21,977.46/32,970.27 = 7,187.16/x
  3. Step 3: Cross multiply
    21,977.46x = 32,970.27 × 7,187.16
  4. Step 4: Simplify right side
    21,977.46x = 236,962,756.32
  5. Step 5: Solve for x
    x = 236,962,756.32/21,977.46
  6. Step 6: Final answer
    x = 10,782.08

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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.