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Finding the Fourth Proportional to 14,655.68, 21,978.92 and 5,294.46

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Solution

The fourth proportional to 14,655.68, 21,978.92 and 5,294.46 is: 7,940.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,655.68 : 21,978.92 = 5,294.46 : x
  2. Step 2: Convert to fraction form
    14,655.68/21,978.92 = 5,294.46/x
  3. Step 3: Cross multiply
    14,655.68x = 21,978.92 × 5,294.46
  4. Step 4: Simplify right side
    14,655.68x = 116,366,526.02
  5. Step 5: Solve for x
    x = 116,366,526.02/14,655.68
  6. Step 6: Final answer
    x = 7,940.03

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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.