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Finding the Fourth Proportional to 12,854, 19,281.04 and 3,620

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Solution

The fourth proportional to 12,854, 19,281.04 and 3,620 is: 5,430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854 : 19,281.04 = 3,620 : x
  2. Step 2: Convert to fraction form
    12,854/19,281.04 = 3,620/x
  3. Step 3: Cross multiply
    12,854x = 19,281.04 × 3,620
  4. Step 4: Simplify right side
    12,854x = 69,797,364.80
  5. Step 5: Solve for x
    x = 69,797,364.80/12,854
  6. Step 6: Final answer
    x = 5,430.01

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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.