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Finding the Fourth Proportional to 21,700.06, 32,554.02 and 9,854

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Solution

The fourth proportional to 21,700.06, 32,554.02 and 9,854 is: 14,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700.06 : 32,554.02 = 9,854 : x
  2. Step 2: Convert to fraction form
    21,700.06/32,554.02 = 9,854/x
  3. Step 3: Cross multiply
    21,700.06x = 32,554.02 × 9,854
  4. Step 4: Simplify right side
    21,700.06x = 320,787,313.08
  5. Step 5: Solve for x
    x = 320,787,313.08/21,700.06
  6. Step 6: Final answer
    x = 14,782.78

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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.