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Finding the Fourth Proportional to 15,153.84, 20,894 and 12,639.60

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Solution

The fourth proportional to 15,153.84, 20,894 and 12,639.60 is: 17,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,153.84 : 20,894 = 12,639.60 : x
  2. Step 2: Convert to fraction form
    15,153.84/20,894 = 12,639.60/x
  3. Step 3: Cross multiply
    15,153.84x = 20,894 × 12,639.60
  4. Step 4: Simplify right side
    15,153.84x = 264,091,802.40
  5. Step 5: Solve for x
    x = 264,091,802.40/15,153.84
  6. Step 6: Final answer
    x = 17,427.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.