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Finding the Fourth Proportional to 21,348.16, 32,022 and 9,653.20

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Solution

The fourth proportional to 21,348.16, 32,022 and 9,653.20 is: 14,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,348.16 : 32,022 = 9,653.20 : x
  2. Step 2: Convert to fraction form
    21,348.16/32,022 = 9,653.20/x
  3. Step 3: Cross multiply
    21,348.16x = 32,022 × 9,653.20
  4. Step 4: Simplify right side
    21,348.16x = 309,114,770.40
  5. Step 5: Solve for x
    x = 309,114,770.40/21,348.16
  6. Step 6: Final answer
    x = 14,479.69

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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.