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Finding the Fourth Proportional to 24,279.84, 36,421.34 and 7,640.51

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Solution

The fourth proportional to 24,279.84, 36,421.34 and 7,640.51 is: 11,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,279.84 : 36,421.34 = 7,640.51 : x
  2. Step 2: Convert to fraction form
    24,279.84/36,421.34 = 7,640.51/x
  3. Step 3: Cross multiply
    24,279.84x = 36,421.34 × 7,640.51
  4. Step 4: Simplify right side
    24,279.84x = 278,277,392.17
  5. Step 5: Solve for x
    x = 278,277,392.17/24,279.84
  6. Step 6: Final answer
    x = 11,461.25

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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.