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Finding the Fourth Proportional to 16,492.85, 24,772.49 and 9,842.34

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Solution

The fourth proportional to 16,492.85, 24,772.49 and 9,842.34 is: 14,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492.85 : 24,772.49 = 9,842.34 : x
  2. Step 2: Convert to fraction form
    16,492.85/24,772.49 = 9,842.34/x
  3. Step 3: Cross multiply
    16,492.85x = 24,772.49 × 9,842.34
  4. Step 4: Simplify right side
    16,492.85x = 243,819,349.82
  5. Step 5: Solve for x
    x = 243,819,349.82/16,492.85
  6. Step 6: Final answer
    x = 14,783.34

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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.