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Finding the Fourth Proportional to 21,497.41, 32,245.39 and 9,810.55

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Solution

The fourth proportional to 21,497.41, 32,245.39 and 9,810.55 is: 14,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.41 : 32,245.39 = 9,810.55 : x
  2. Step 2: Convert to fraction form
    21,497.41/32,245.39 = 9,810.55/x
  3. Step 3: Cross multiply
    21,497.41x = 32,245.39 × 9,810.55
  4. Step 4: Simplify right side
    21,497.41x = 316,345,010.86
  5. Step 5: Solve for x
    x = 316,345,010.86/21,497.41
  6. Step 6: Final answer
    x = 14,715.49

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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.