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Finding the Fourth Proportional to 24,967.84, 34,455 and 14,357.22

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Solution

The fourth proportional to 24,967.84, 34,455 and 14,357.22 is: 19,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,967.84 : 34,455 = 14,357.22 : x
  2. Step 2: Convert to fraction form
    24,967.84/34,455 = 14,357.22/x
  3. Step 3: Cross multiply
    24,967.84x = 34,455 × 14,357.22
  4. Step 4: Simplify right side
    24,967.84x = 494,678,015.10
  5. Step 5: Solve for x
    x = 494,678,015.10/24,967.84
  6. Step 6: Final answer
    x = 19,812.61

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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.