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Finding the Fourth Proportional to 27,564.84, 38,039.87 and 20,653.77

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Solution

The fourth proportional to 27,564.84, 38,039.87 and 20,653.77 is: 28,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.84 : 38,039.87 = 20,653.77 : x
  2. Step 2: Convert to fraction form
    27,564.84/38,039.87 = 20,653.77/x
  3. Step 3: Cross multiply
    27,564.84x = 38,039.87 × 20,653.77
  4. Step 4: Simplify right side
    27,564.84x = 785,666,725.81
  5. Step 5: Solve for x
    x = 785,666,725.81/27,564.84
  6. Step 6: Final answer
    x = 28,502.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.