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Finding the Fourth Proportional to 24,807.70, 37,215.65 and 11,494

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Solution

The fourth proportional to 24,807.70, 37,215.65 and 11,494 is: 17,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807.70 : 37,215.65 = 11,494 : x
  2. Step 2: Convert to fraction form
    24,807.70/37,215.65 = 11,494/x
  3. Step 3: Cross multiply
    24,807.70x = 37,215.65 × 11,494
  4. Step 4: Simplify right side
    24,807.70x = 427,756,681.10
  5. Step 5: Solve for x
    x = 427,756,681.10/24,807.70
  6. Step 6: Final answer
    x = 17,242.90

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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.