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Finding the Fourth Proportional to 24,223.86, 36,342.71 and 7,588.65

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Solution

The fourth proportional to 24,223.86, 36,342.71 and 7,588.65 is: 11,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223.86 : 36,342.71 = 7,588.65 : x
  2. Step 2: Convert to fraction form
    24,223.86/36,342.71 = 7,588.65/x
  3. Step 3: Cross multiply
    24,223.86x = 36,342.71 × 7,588.65
  4. Step 4: Simplify right side
    24,223.86x = 275,792,068.30
  5. Step 5: Solve for x
    x = 275,792,068.30/24,223.86
  6. Step 6: Final answer
    x = 11,385.14

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1.5x scale

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.