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Finding the Fourth Proportional to 14,699.12, 22,051.88 and 4,838

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Solution

The fourth proportional to 14,699.12, 22,051.88 and 4,838 is: 7,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.12 : 22,051.88 = 4,838 : x
  2. Step 2: Convert to fraction form
    14,699.12/22,051.88 = 4,838/x
  3. Step 3: Cross multiply
    14,699.12x = 22,051.88 × 4,838
  4. Step 4: Simplify right side
    14,699.12x = 106,686,995.44
  5. Step 5: Solve for x
    x = 106,686,995.44/14,699.12
  6. Step 6: Final answer
    x = 7,258.05

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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.