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Finding the Fourth Proportional to 14,727.96, 22,092.21 and 4,868.10

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Solution

The fourth proportional to 14,727.96, 22,092.21 and 4,868.10 is: 7,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727.96 : 22,092.21 = 4,868.10 : x
  2. Step 2: Convert to fraction form
    14,727.96/22,092.21 = 4,868.10/x
  3. Step 3: Cross multiply
    14,727.96x = 22,092.21 × 4,868.10
  4. Step 4: Simplify right side
    14,727.96x = 107,547,087.50
  5. Step 5: Solve for x
    x = 107,547,087.50/14,727.96
  6. Step 6: Final answer
    x = 7,302.24

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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.