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Finding the Fourth Proportional to 14,659, 21,988.62 and 3,565.74

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Solution

The fourth proportional to 14,659, 21,988.62 and 3,565.74 is: 5,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659 : 21,988.62 = 3,565.74 : x
  2. Step 2: Convert to fraction form
    14,659/21,988.62 = 3,565.74/x
  3. Step 3: Cross multiply
    14,659x = 21,988.62 × 3,565.74
  4. Step 4: Simplify right side
    14,659x = 78,405,701.88
  5. Step 5: Solve for x
    x = 78,405,701.88/14,659
  6. Step 6: Final answer
    x = 5,348.64

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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.