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Finding the Fourth Proportional to 14,689.86, 22,036.17 and 4,829.16

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Solution

The fourth proportional to 14,689.86, 22,036.17 and 4,829.16 is: 7,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.86 : 22,036.17 = 4,829.16 : x
  2. Step 2: Convert to fraction form
    14,689.86/22,036.17 = 4,829.16/x
  3. Step 3: Cross multiply
    14,689.86x = 22,036.17 × 4,829.16
  4. Step 4: Simplify right side
    14,689.86x = 106,416,190.72
  5. Step 5: Solve for x
    x = 106,416,190.72/14,689.86
  6. Step 6: Final answer
    x = 7,244.19

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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.