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Finding the Fourth Proportional to 14,543.52, 21,811.84 and 6,748

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Solution

The fourth proportional to 14,543.52, 21,811.84 and 6,748 is: 10,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.52 : 21,811.84 = 6,748 : x
  2. Step 2: Convert to fraction form
    14,543.52/21,811.84 = 6,748/x
  3. Step 3: Cross multiply
    14,543.52x = 21,811.84 × 6,748
  4. Step 4: Simplify right side
    14,543.52x = 147,186,296.32
  5. Step 5: Solve for x
    x = 147,186,296.32/14,543.52
  6. Step 6: Final answer
    x = 10,120.40

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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.