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Finding the Fourth Proportional to 14,814.16, 22,205.76 and 7,013.68

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Solution

The fourth proportional to 14,814.16, 22,205.76 and 7,013.68 is: 10,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.16 : 22,205.76 = 7,013.68 : x
  2. Step 2: Convert to fraction form
    14,814.16/22,205.76 = 7,013.68/x
  3. Step 3: Cross multiply
    14,814.16x = 22,205.76 × 7,013.68
  4. Step 4: Simplify right side
    14,814.16x = 155,744,094.80
  5. Step 5: Solve for x
    x = 155,744,094.80/14,814.16
  6. Step 6: Final answer
    x = 10,513.19

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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.