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Finding the Fourth Proportional to 14,106.04, 21,162.22 and 4,746.44

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Solution

The fourth proportional to 14,106.04, 21,162.22 and 4,746.44 is: 7,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.04 : 21,162.22 = 4,746.44 : x
  2. Step 2: Convert to fraction form
    14,106.04/21,162.22 = 4,746.44/x
  3. Step 3: Cross multiply
    14,106.04x = 21,162.22 × 4,746.44
  4. Step 4: Simplify right side
    14,106.04x = 100,445,207.50
  5. Step 5: Solve for x
    x = 100,445,207.50/14,106.04
  6. Step 6: Final answer
    x = 7,120.72

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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.