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Finding the Fourth Proportional to 10,591.90, 14,587.23 and 10,362.31

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Solution

The fourth proportional to 10,591.90, 14,587.23 and 10,362.31 is: 14,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.90 : 14,587.23 = 10,362.31 : x
  2. Step 2: Convert to fraction form
    10,591.90/14,587.23 = 10,362.31/x
  3. Step 3: Cross multiply
    10,591.90x = 14,587.23 × 10,362.31
  4. Step 4: Simplify right side
    10,591.90x = 151,157,399.30
  5. Step 5: Solve for x
    x = 151,157,399.30/10,591.90
  6. Step 6: Final answer
    x = 14,271.04

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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.