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Finding the Fourth Proportional to 14,632.84, 21,929.82 and 8,395.84

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Solution

The fourth proportional to 14,632.84, 21,929.82 and 8,395.84 is: 12,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.84 : 21,929.82 = 8,395.84 : x
  2. Step 2: Convert to fraction form
    14,632.84/21,929.82 = 8,395.84/x
  3. Step 3: Cross multiply
    14,632.84x = 21,929.82 × 8,395.84
  4. Step 4: Simplify right side
    14,632.84x = 184,119,259.95
  5. Step 5: Solve for x
    x = 184,119,259.95/14,632.84
  6. Step 6: Final answer
    x = 12,582.61

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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.