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Finding the Fourth Proportional to 24,174.60, 33,364 and 13,564.16

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Solution

The fourth proportional to 24,174.60, 33,364 and 13,564.16 is: 18,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174.60 : 33,364 = 13,564.16 : x
  2. Step 2: Convert to fraction form
    24,174.60/33,364 = 13,564.16/x
  3. Step 3: Cross multiply
    24,174.60x = 33,364 × 13,564.16
  4. Step 4: Simplify right side
    24,174.60x = 452,554,634.24
  5. Step 5: Solve for x
    x = 452,554,634.24/24,174.60
  6. Step 6: Final answer
    x = 18,720.25

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