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Finding the Fourth Proportional to 14,634.60, 21,962.70 and 9,702.60

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Solution

The fourth proportional to 14,634.60, 21,962.70 and 9,702.60 is: 14,561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634.60 : 21,962.70 = 9,702.60 : x
  2. Step 2: Convert to fraction form
    14,634.60/21,962.70 = 9,702.60/x
  3. Step 3: Cross multiply
    14,634.60x = 21,962.70 × 9,702.60
  4. Step 4: Simplify right side
    14,634.60x = 213,095,293.02
  5. Step 5: Solve for x
    x = 213,095,293.02/14,634.60
  6. Step 6: Final answer
    x = 14,561.06

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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.