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Finding the Fourth Proportional to 21,756.13, 32,646.49 and 9,274.84

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Solution

The fourth proportional to 21,756.13, 32,646.49 and 9,274.84 is: 13,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,756.13 : 32,646.49 = 9,274.84 : x
  2. Step 2: Convert to fraction form
    21,756.13/32,646.49 = 9,274.84/x
  3. Step 3: Cross multiply
    21,756.13x = 32,646.49 × 9,274.84
  4. Step 4: Simplify right side
    21,756.13x = 302,790,866.51
  5. Step 5: Solve for x
    x = 302,790,866.51/21,756.13
  6. Step 6: Final answer
    x = 13,917.50

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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.