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Finding the Fourth Proportional to 13,533.18, 20,260.08 and 10,259.16

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Solution

The fourth proportional to 13,533.18, 20,260.08 and 10,259.16 is: 15,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.18 : 20,260.08 = 10,259.16 : x
  2. Step 2: Convert to fraction form
    13,533.18/20,260.08 = 10,259.16/x
  3. Step 3: Cross multiply
    13,533.18x = 20,260.08 × 10,259.16
  4. Step 4: Simplify right side
    13,533.18x = 207,851,402.33
  5. Step 5: Solve for x
    x = 207,851,402.33/13,533.18
  6. Step 6: Final answer
    x = 15,358.65

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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.