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Finding the Fourth Proportional to 24,712.94, 34,106.28 and 14,104.16

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Solution

The fourth proportional to 24,712.94, 34,106.28 and 14,104.16 is: 19,465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712.94 : 34,106.28 = 14,104.16 : x
  2. Step 2: Convert to fraction form
    24,712.94/34,106.28 = 14,104.16/x
  3. Step 3: Cross multiply
    24,712.94x = 34,106.28 × 14,104.16
  4. Step 4: Simplify right side
    24,712.94x = 481,040,259.59
  5. Step 5: Solve for x
    x = 481,040,259.59/24,712.94
  6. Step 6: Final answer
    x = 19,465.12

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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.