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Finding the Fourth Proportional to 24,360.24, 36,518 and 8,774.08

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Solution

The fourth proportional to 24,360.24, 36,518 and 8,774.08 is: 13,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,360.24 : 36,518 = 8,774.08 : x
  2. Step 2: Convert to fraction form
    24,360.24/36,518 = 8,774.08/x
  3. Step 3: Cross multiply
    24,360.24x = 36,518 × 8,774.08
  4. Step 4: Simplify right side
    24,360.24x = 320,411,853.44
  5. Step 5: Solve for x
    x = 320,411,853.44/24,360.24
  6. Step 6: Final answer
    x = 13,153.07

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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.