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Finding the Fourth Proportional to 15,124.64, 22,667.24 and 7,722.86

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Solution

The fourth proportional to 15,124.64, 22,667.24 and 7,722.86 is: 11,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,124.64 : 22,667.24 = 7,722.86 : x
  2. Step 2: Convert to fraction form
    15,124.64/22,667.24 = 7,722.86/x
  3. Step 3: Cross multiply
    15,124.64x = 22,667.24 × 7,722.86
  4. Step 4: Simplify right side
    15,124.64x = 175,055,827.08
  5. Step 5: Solve for x
    x = 175,055,827.08/15,124.64
  6. Step 6: Final answer
    x = 11,574.22

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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.