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Finding the Fourth Proportional to 14,465.68, 21,699.48 and 5,706.74

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Solution

The fourth proportional to 14,465.68, 21,699.48 and 5,706.74 is: 8,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.68 : 21,699.48 = 5,706.74 : x
  2. Step 2: Convert to fraction form
    14,465.68/21,699.48 = 5,706.74/x
  3. Step 3: Cross multiply
    14,465.68x = 21,699.48 × 5,706.74
  4. Step 4: Simplify right side
    14,465.68x = 123,833,290.50
  5. Step 5: Solve for x
    x = 123,833,290.50/14,465.68
  6. Step 6: Final answer
    x = 8,560.49

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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.