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Finding the Fourth Proportional to 24,449, 33,740.34 and 13,271.72

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Solution

The fourth proportional to 24,449, 33,740.34 and 13,271.72 is: 18,315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,449 : 33,740.34 = 13,271.72 : x
  2. Step 2: Convert to fraction form
    24,449/33,740.34 = 13,271.72/x
  3. Step 3: Cross multiply
    24,449x = 33,740.34 × 13,271.72
  4. Step 4: Simplify right side
    24,449x = 447,792,345.18
  5. Step 5: Solve for x
    x = 447,792,345.18/24,449
  6. Step 6: Final answer
    x = 18,315.36

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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.