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Finding the Fourth Proportional to 24,133.26, 36,206.76 and 9,346.50

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Solution

The fourth proportional to 24,133.26, 36,206.76 and 9,346.50 is: 14,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,133.26 : 36,206.76 = 9,346.50 : x
  2. Step 2: Convert to fraction form
    24,133.26/36,206.76 = 9,346.50/x
  3. Step 3: Cross multiply
    24,133.26x = 36,206.76 × 9,346.50
  4. Step 4: Simplify right side
    24,133.26x = 338,406,482.34
  5. Step 5: Solve for x
    x = 338,406,482.34/24,133.26
  6. Step 6: Final answer
    x = 14,022.41

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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.