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Finding the Fourth Proportional to 14,543.88, 21,816.02 and 4,155.63

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Solution

The fourth proportional to 14,543.88, 21,816.02 and 4,155.63 is: 6,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.88 : 21,816.02 = 4,155.63 : x
  2. Step 2: Convert to fraction form
    14,543.88/21,816.02 = 4,155.63/x
  3. Step 3: Cross multiply
    14,543.88x = 21,816.02 × 4,155.63
  4. Step 4: Simplify right side
    14,543.88x = 90,659,307.19
  5. Step 5: Solve for x
    x = 90,659,307.19/14,543.88
  6. Step 6: Final answer
    x = 6,233.50

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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.