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Finding the Fourth Proportional to 21,292.64, 31,955.98 and 9,606.78

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Solution

The fourth proportional to 21,292.64, 31,955.98 and 9,606.78 is: 14,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,292.64 : 31,955.98 = 9,606.78 : x
  2. Step 2: Convert to fraction form
    21,292.64/31,955.98 = 9,606.78/x
  3. Step 3: Cross multiply
    21,292.64x = 31,955.98 × 9,606.78
  4. Step 4: Simplify right side
    21,292.64x = 306,994,069.54
  5. Step 5: Solve for x
    x = 306,994,069.54/21,292.64
  6. Step 6: Final answer
    x = 14,417.85

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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.