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Finding the Fourth Proportional to 27,698.84, 38,224.80 and 15,123.32

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Solution

The fourth proportional to 27,698.84, 38,224.80 and 15,123.32 is: 20,870.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.84 : 38,224.80 = 15,123.32 : x
  2. Step 2: Convert to fraction form
    27,698.84/38,224.80 = 15,123.32/x
  3. Step 3: Cross multiply
    27,698.84x = 38,224.80 × 15,123.32
  4. Step 4: Simplify right side
    27,698.84x = 578,085,882.34
  5. Step 5: Solve for x
    x = 578,085,882.34/27,698.84
  6. Step 6: Final answer
    x = 20,870.40

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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.