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Finding the Fourth Proportional to 24,312, 33,550.56 and 13,134

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Solution

The fourth proportional to 24,312, 33,550.56 and 13,134 is: 18,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312 : 33,550.56 = 13,134 : x
  2. Step 2: Convert to fraction form
    24,312/33,550.56 = 13,134/x
  3. Step 3: Cross multiply
    24,312x = 33,550.56 × 13,134
  4. Step 4: Simplify right side
    24,312x = 440,653,055.04
  5. Step 5: Solve for x
    x = 440,653,055.04/24,312
  6. Step 6: Final answer
    x = 18,124.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.