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Finding the Fourth Proportional to 23,153.84, 34,684.24 and 10,656.40

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Solution

The fourth proportional to 23,153.84, 34,684.24 and 10,656.40 is: 15,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,153.84 : 34,684.24 = 10,656.40 : x
  2. Step 2: Convert to fraction form
    23,153.84/34,684.24 = 10,656.40/x
  3. Step 3: Cross multiply
    23,153.84x = 34,684.24 × 10,656.40
  4. Step 4: Simplify right side
    23,153.84x = 369,609,135.14
  5. Step 5: Solve for x
    x = 369,609,135.14/23,153.84
  6. Step 6: Final answer
    x = 15,963.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.