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Finding the Fourth Proportional to 24,386.48, 36,575.98 and 7,744.35

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Solution

The fourth proportional to 24,386.48, 36,575.98 and 7,744.35 is: 11,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,386.48 : 36,575.98 = 7,744.35 : x
  2. Step 2: Convert to fraction form
    24,386.48/36,575.98 = 7,744.35/x
  3. Step 3: Cross multiply
    24,386.48x = 36,575.98 × 7,744.35
  4. Step 4: Simplify right side
    24,386.48x = 283,257,190.71
  5. Step 5: Solve for x
    x = 283,257,190.71/24,386.48
  6. Step 6: Final answer
    x = 11,615.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.