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Finding the Fourth Proportional to 24,898.29, 37,347.45 and 7,369.50

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Solution

The fourth proportional to 24,898.29, 37,347.45 and 7,369.50 is: 11,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,898.29 : 37,347.45 = 7,369.50 : x
  2. Step 2: Convert to fraction form
    24,898.29/37,347.45 = 7,369.50/x
  3. Step 3: Cross multiply
    24,898.29x = 37,347.45 × 7,369.50
  4. Step 4: Simplify right side
    24,898.29x = 275,232,032.78
  5. Step 5: Solve for x
    x = 275,232,032.78/24,898.29
  6. Step 6: Final answer
    x = 11,054.25

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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.