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Finding the Fourth Proportional to 27,299.58, 40,925 and 10,655.74

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Solution

The fourth proportional to 27,299.58, 40,925 and 10,655.74 is: 15,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,299.58 : 40,925 = 10,655.74 : x
  2. Step 2: Convert to fraction form
    27,299.58/40,925 = 10,655.74/x
  3. Step 3: Cross multiply
    27,299.58x = 40,925 × 10,655.74
  4. Step 4: Simplify right side
    27,299.58x = 436,086,159.50
  5. Step 5: Solve for x
    x = 436,086,159.50/27,299.58
  6. Step 6: Final answer
    x = 15,974.10

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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.