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Finding the Fourth Proportional to 24,818.81, 37,230.94 and 7,290

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Solution

The fourth proportional to 24,818.81, 37,230.94 and 7,290 is: 10,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,818.81 : 37,230.94 = 7,290 : x
  2. Step 2: Convert to fraction form
    24,818.81/37,230.94 = 7,290/x
  3. Step 3: Cross multiply
    24,818.81x = 37,230.94 × 7,290
  4. Step 4: Simplify right side
    24,818.81x = 271,413,561.71
  5. Step 5: Solve for x
    x = 271,413,561.71/24,818.81
  6. Step 6: Final answer
    x = 10,935.80

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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.