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Finding the Fourth Proportional to 14,705, 22,052.06 and 4,841.40

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Solution

The fourth proportional to 14,705, 22,052.06 and 4,841.40 is: 7,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705 : 22,052.06 = 4,841.40 : x
  2. Step 2: Convert to fraction form
    14,705/22,052.06 = 4,841.40/x
  3. Step 3: Cross multiply
    14,705x = 22,052.06 × 4,841.40
  4. Step 4: Simplify right side
    14,705x = 106,762,843.28
  5. Step 5: Solve for x
    x = 106,762,843.28/14,705
  6. Step 6: Final answer
    x = 7,260.31

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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.