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Finding the Fourth Proportional to 10,991.70, 16,439.55 and 9,830.10

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Solution

The fourth proportional to 10,991.70, 16,439.55 and 9,830.10 is: 14,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.70 : 16,439.55 = 9,830.10 : x
  2. Step 2: Convert to fraction form
    10,991.70/16,439.55 = 9,830.10/x
  3. Step 3: Cross multiply
    10,991.70x = 16,439.55 × 9,830.10
  4. Step 4: Simplify right side
    10,991.70x = 161,602,420.46
  5. Step 5: Solve for x
    x = 161,602,420.46/10,991.70
  6. Step 6: Final answer
    x = 14,702.22

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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.