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Finding the Fourth Proportional to 21,837.71, 32,756.58 and 9,349.63

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Solution

The fourth proportional to 21,837.71, 32,756.58 and 9,349.63 is: 14,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,837.71 : 32,756.58 = 9,349.63 : x
  2. Step 2: Convert to fraction form
    21,837.71/32,756.58 = 9,349.63/x
  3. Step 3: Cross multiply
    21,837.71x = 32,756.58 × 9,349.63
  4. Step 4: Simplify right side
    21,837.71x = 306,261,821.17
  5. Step 5: Solve for x
    x = 306,261,821.17/21,837.71
  6. Step 6: Final answer
    x = 14,024.45

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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.