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Finding the Fourth Proportional to 14,921, 22,384.76 and 5,687

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Solution

The fourth proportional to 14,921, 22,384.76 and 5,687 is: 8,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921 : 22,384.76 = 5,687 : x
  2. Step 2: Convert to fraction form
    14,921/22,384.76 = 5,687/x
  3. Step 3: Cross multiply
    14,921x = 22,384.76 × 5,687
  4. Step 4: Simplify right side
    14,921x = 127,302,130.12
  5. Step 5: Solve for x
    x = 127,302,130.12/14,921
  6. Step 6: Final answer
    x = 8,531.74

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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.