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Finding the Fourth Proportional to 15,606.20, 21,538.58 and 8,894.24

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Solution

The fourth proportional to 15,606.20, 21,538.58 and 8,894.24 is: 12,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,606.20 : 21,538.58 = 8,894.24 : x
  2. Step 2: Convert to fraction form
    15,606.20/21,538.58 = 8,894.24/x
  3. Step 3: Cross multiply
    15,606.20x = 21,538.58 × 8,894.24
  4. Step 4: Simplify right side
    15,606.20x = 191,569,228.38
  5. Step 5: Solve for x
    x = 191,569,228.38/15,606.20
  6. Step 6: Final answer
    x = 12,275.20

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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.