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Finding the Fourth Proportional to 24,174.16, 36,263.40 and 7,534.33

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Solution

The fourth proportional to 24,174.16, 36,263.40 and 7,534.33 is: 11,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174.16 : 36,263.40 = 7,534.33 : x
  2. Step 2: Convert to fraction form
    24,174.16/36,263.40 = 7,534.33/x
  3. Step 3: Cross multiply
    24,174.16x = 36,263.40 × 7,534.33
  4. Step 4: Simplify right side
    24,174.16x = 273,220,422.52
  5. Step 5: Solve for x
    x = 273,220,422.52/24,174.16
  6. Step 6: Final answer
    x = 11,302.17

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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.