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Finding the Fourth Proportional to 16,483.50, 22,738.32 and 10,505.70

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Solution

The fourth proportional to 16,483.50, 22,738.32 and 10,505.70 is: 14,492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.50 : 22,738.32 = 10,505.70 : x
  2. Step 2: Convert to fraction form
    16,483.50/22,738.32 = 10,505.70/x
  3. Step 3: Cross multiply
    16,483.50x = 22,738.32 × 10,505.70
  4. Step 4: Simplify right side
    16,483.50x = 238,881,968.42
  5. Step 5: Solve for x
    x = 238,881,968.42/16,483.50
  6. Step 6: Final answer
    x = 14,492.19

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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.