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Finding the Fourth Proportional to 13,735.24, 20,602.86 and 4,968.10

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Solution

The fourth proportional to 13,735.24, 20,602.86 and 4,968.10 is: 7,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.24 : 20,602.86 = 4,968.10 : x
  2. Step 2: Convert to fraction form
    13,735.24/20,602.86 = 4,968.10/x
  3. Step 3: Cross multiply
    13,735.24x = 20,602.86 × 4,968.10
  4. Step 4: Simplify right side
    13,735.24x = 102,357,075.89
  5. Step 5: Solve for x
    x = 102,357,075.89/13,735.24
  6. Step 6: Final answer
    x = 7,452.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.