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Finding the Fourth Proportional to 21,700.54, 29,946.59 and 12,140.38

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Solution

The fourth proportional to 21,700.54, 29,946.59 and 12,140.38 is: 16,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700.54 : 29,946.59 = 12,140.38 : x
  2. Step 2: Convert to fraction form
    21,700.54/29,946.59 = 12,140.38/x
  3. Step 3: Cross multiply
    21,700.54x = 29,946.59 × 12,140.38
  4. Step 4: Simplify right side
    21,700.54x = 363,563,103.58
  5. Step 5: Solve for x
    x = 363,563,103.58/21,700.54
  6. Step 6: Final answer
    x = 16,753.65

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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.