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Finding the Fourth Proportional to 15,884.20, 23,009.05 and 15,884.20

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Solution

The fourth proportional to 15,884.20, 23,009.05 and 15,884.20 is: 23,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.20 : 23,009.05 = 15,884.20 : x
  2. Step 2: Convert to fraction form
    15,884.20/23,009.05 = 15,884.20/x
  3. Step 3: Cross multiply
    15,884.20x = 23,009.05 × 15,884.20
  4. Step 4: Simplify right side
    15,884.20x = 365,480,352.01
  5. Step 5: Solve for x
    x = 365,480,352.01/15,884.20
  6. Step 6: Final answer
    x = 23,009.05

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.