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Finding the Fourth Proportional to 21,111.64, 31,676.18 and 9,259.28

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Solution

The fourth proportional to 21,111.64, 31,676.18 and 9,259.28 is: 13,892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,111.64 : 31,676.18 = 9,259.28 : x
  2. Step 2: Convert to fraction form
    21,111.64/31,676.18 = 9,259.28/x
  3. Step 3: Cross multiply
    21,111.64x = 31,676.18 × 9,259.28
  4. Step 4: Simplify right side
    21,111.64x = 293,298,619.95
  5. Step 5: Solve for x
    x = 293,298,619.95/21,111.64
  6. Step 6: Final answer
    x = 13,892.74

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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.