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Finding the Fourth Proportional to 17,963.09, 24,787.47 and 10,407

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Solution

The fourth proportional to 17,963.09, 24,787.47 and 10,407 is: 14,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,963.09 : 24,787.47 = 10,407 : x
  2. Step 2: Convert to fraction form
    17,963.09/24,787.47 = 10,407/x
  3. Step 3: Cross multiply
    17,963.09x = 24,787.47 × 10,407
  4. Step 4: Simplify right side
    17,963.09x = 257,963,200.29
  5. Step 5: Solve for x
    x = 257,963,200.29/17,963.09
  6. Step 6: Final answer
    x = 14,360.74

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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.