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Finding the Fourth Proportional to 15,821.54, 23,720.50 and 9,580.04

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Solution

The fourth proportional to 15,821.54, 23,720.50 and 9,580.04 is: 14,362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.54 : 23,720.50 = 9,580.04 : x
  2. Step 2: Convert to fraction form
    15,821.54/23,720.50 = 9,580.04/x
  3. Step 3: Cross multiply
    15,821.54x = 23,720.50 × 9,580.04
  4. Step 4: Simplify right side
    15,821.54x = 227,243,267.26
  5. Step 5: Solve for x
    x = 227,243,267.26/15,821.54
  6. Step 6: Final answer
    x = 14,362.90

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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.