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Finding the Fourth Proportional to 13,288.98, 19,929.12 and 4,402.62

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Solution

The fourth proportional to 13,288.98, 19,929.12 and 4,402.62 is: 6,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288.98 : 19,929.12 = 4,402.62 : x
  2. Step 2: Convert to fraction form
    13,288.98/19,929.12 = 4,402.62/x
  3. Step 3: Cross multiply
    13,288.98x = 19,929.12 × 4,402.62
  4. Step 4: Simplify right side
    13,288.98x = 87,740,342.29
  5. Step 5: Solve for x
    x = 87,740,342.29/13,288.98
  6. Step 6: Final answer
    x = 6,602.49

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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.