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Finding the Fourth Proportional to 15,923.84, 21,973.28 and 8,849.76

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Solution

The fourth proportional to 15,923.84, 21,973.28 and 8,849.76 is: 12,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.84 : 21,973.28 = 8,849.76 : x
  2. Step 2: Convert to fraction form
    15,923.84/21,973.28 = 8,849.76/x
  3. Step 3: Cross multiply
    15,923.84x = 21,973.28 × 8,849.76
  4. Step 4: Simplify right side
    15,923.84x = 194,458,254.41
  5. Step 5: Solve for x
    x = 194,458,254.41/15,923.84
  6. Step 6: Final answer
    x = 12,211.77

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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.