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Finding the Fourth Proportional to 24,881.50, 37,322.25 and 7,363.63

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Solution

The fourth proportional to 24,881.50, 37,322.25 and 7,363.63 is: 11,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,881.50 : 37,322.25 = 7,363.63 : x
  2. Step 2: Convert to fraction form
    24,881.50/37,322.25 = 7,363.63/x
  3. Step 3: Cross multiply
    24,881.50x = 37,322.25 × 7,363.63
  4. Step 4: Simplify right side
    24,881.50x = 274,827,239.77
  5. Step 5: Solve for x
    x = 274,827,239.77/24,881.50
  6. Step 6: Final answer
    x = 11,045.45

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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.