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Finding the Fourth Proportional to 13,415.17, 20,122.75 and 4,650.08

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Solution

The fourth proportional to 13,415.17, 20,122.75 and 4,650.08 is: 6,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.17 : 20,122.75 = 4,650.08 : x
  2. Step 2: Convert to fraction form
    13,415.17/20,122.75 = 4,650.08/x
  3. Step 3: Cross multiply
    13,415.17x = 20,122.75 × 4,650.08
  4. Step 4: Simplify right side
    13,415.17x = 93,572,397.32
  5. Step 5: Solve for x
    x = 93,572,397.32/13,415.17
  6. Step 6: Final answer
    x = 6,975.12

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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.