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Finding the Fourth Proportional to 24,716, 37,078.66 and 9,926.08

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Solution

The fourth proportional to 24,716, 37,078.66 and 9,926.08 is: 14,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716 : 37,078.66 = 9,926.08 : x
  2. Step 2: Convert to fraction form
    24,716/37,078.66 = 9,926.08/x
  3. Step 3: Cross multiply
    24,716x = 37,078.66 × 9,926.08
  4. Step 4: Simplify right side
    24,716x = 368,045,745.45
  5. Step 5: Solve for x
    x = 368,045,745.45/24,716
  6. Step 6: Final answer
    x = 14,890.99

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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.