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Finding the Fourth Proportional to 24,563.76, 33,897.12 and 14,492.64

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Solution

The fourth proportional to 24,563.76, 33,897.12 and 14,492.64 is: 19,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.76 : 33,897.12 = 14,492.64 : x
  2. Step 2: Convert to fraction form
    24,563.76/33,897.12 = 14,492.64/x
  3. Step 3: Cross multiply
    24,563.76x = 33,897.12 × 14,492.64
  4. Step 4: Simplify right side
    24,563.76x = 491,258,757.20
  5. Step 5: Solve for x
    x = 491,258,757.20/24,563.76
  6. Step 6: Final answer
    x = 19,999.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.