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Finding the Fourth Proportional to 13,368, 20,053.14 and 3,507.24

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Solution

The fourth proportional to 13,368, 20,053.14 and 3,507.24 is: 5,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,368 : 20,053.14 = 3,507.24 : x
  2. Step 2: Convert to fraction form
    13,368/20,053.14 = 3,507.24/x
  3. Step 3: Cross multiply
    13,368x = 20,053.14 × 3,507.24
  4. Step 4: Simplify right side
    13,368x = 70,331,174.73
  5. Step 5: Solve for x
    x = 70,331,174.73/13,368
  6. Step 6: Final answer
    x = 5,261.16

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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.