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Finding the Fourth Proportional to 12,809.76, 19,203.12 and 4,599.84

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Solution

The fourth proportional to 12,809.76, 19,203.12 and 4,599.84 is: 6,895.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.76 : 19,203.12 = 4,599.84 : x
  2. Step 2: Convert to fraction form
    12,809.76/19,203.12 = 4,599.84/x
  3. Step 3: Cross multiply
    12,809.76x = 19,203.12 × 4,599.84
  4. Step 4: Simplify right side
    12,809.76x = 88,331,279.50
  5. Step 5: Solve for x
    x = 88,331,279.50/12,809.76
  6. Step 6: Final answer
    x = 6,895.62

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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.