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Finding the Fourth Proportional to 14,454.84, 21,681.76 and 6,129.50

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Solution

The fourth proportional to 14,454.84, 21,681.76 and 6,129.50 is: 9,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.84 : 21,681.76 = 6,129.50 : x
  2. Step 2: Convert to fraction form
    14,454.84/21,681.76 = 6,129.50/x
  3. Step 3: Cross multiply
    14,454.84x = 21,681.76 × 6,129.50
  4. Step 4: Simplify right side
    14,454.84x = 132,898,347.92
  5. Step 5: Solve for x
    x = 132,898,347.92/14,454.84
  6. Step 6: Final answer
    x = 9,194.04

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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.