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Finding the Fourth Proportional to 13,461.50, 20,192.04 and 4,696.38

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Solution

The fourth proportional to 13,461.50, 20,192.04 and 4,696.38 is: 7,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.50 : 20,192.04 = 4,696.38 : x
  2. Step 2: Convert to fraction form
    13,461.50/20,192.04 = 4,696.38/x
  3. Step 3: Cross multiply
    13,461.50x = 20,192.04 × 4,696.38
  4. Step 4: Simplify right side
    13,461.50x = 94,829,492.82
  5. Step 5: Solve for x
    x = 94,829,492.82/13,461.50
  6. Step 6: Final answer
    x = 7,044.50

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Why These Related Problems?

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