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Finding the Fourth Proportional to 14,332.48, 21,478.68 and 12,213.05

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Solution

The fourth proportional to 14,332.48, 21,478.68 and 12,213.05 is: 18,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.48 : 21,478.68 = 12,213.05 : x
  2. Step 2: Convert to fraction form
    14,332.48/21,478.68 = 12,213.05/x
  3. Step 3: Cross multiply
    14,332.48x = 21,478.68 × 12,213.05
  4. Step 4: Simplify right side
    14,332.48x = 262,320,085.38
  5. Step 5: Solve for x
    x = 262,320,085.38/14,332.48
  6. Step 6: Final answer
    x = 18,302.49

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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.