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Finding the Fourth Proportional to 17,506, 24,158.28 and 13,033.60

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Solution

The fourth proportional to 17,506, 24,158.28 and 13,033.60 is: 17,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,506 : 24,158.28 = 13,033.60 : x
  2. Step 2: Convert to fraction form
    17,506/24,158.28 = 13,033.60/x
  3. Step 3: Cross multiply
    17,506x = 24,158.28 × 13,033.60
  4. Step 4: Simplify right side
    17,506x = 314,869,358.21
  5. Step 5: Solve for x
    x = 314,869,358.21/17,506
  6. Step 6: Final answer
    x = 17,986.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.