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Finding the Fourth Proportional to 15,133.63, 22,706.98 and 5,776.46

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Solution

The fourth proportional to 15,133.63, 22,706.98 and 5,776.46 is: 8,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,133.63 : 22,706.98 = 5,776.46 : x
  2. Step 2: Convert to fraction form
    15,133.63/22,706.98 = 5,776.46/x
  3. Step 3: Cross multiply
    15,133.63x = 22,706.98 × 5,776.46
  4. Step 4: Simplify right side
    15,133.63x = 131,165,932.81
  5. Step 5: Solve for x
    x = 131,165,932.81/15,133.63
  6. Step 6: Final answer
    x = 8,667.18

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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.