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Finding the Fourth Proportional to 17,429.84, 24,051.76 and 10,258.64

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Solution

The fourth proportional to 17,429.84, 24,051.76 and 10,258.64 is: 14,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,429.84 : 24,051.76 = 10,258.64 : x
  2. Step 2: Convert to fraction form
    17,429.84/24,051.76 = 10,258.64/x
  3. Step 3: Cross multiply
    17,429.84x = 24,051.76 × 10,258.64
  4. Step 4: Simplify right side
    17,429.84x = 246,738,347.21
  5. Step 5: Solve for x
    x = 246,738,347.21/17,429.84
  6. Step 6: Final answer
    x = 14,156.09

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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.