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Finding the Fourth Proportional to 24,312, 33,553.02 and 14,878.74

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Solution

The fourth proportional to 24,312, 33,553.02 and 14,878.74 is: 20,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312 : 33,553.02 = 14,878.74 : x
  2. Step 2: Convert to fraction form
    24,312/33,553.02 = 14,878.74/x
  3. Step 3: Cross multiply
    24,312x = 33,553.02 × 14,878.74
  4. Step 4: Simplify right side
    24,312x = 499,226,660.79
  5. Step 5: Solve for x
    x = 499,226,660.79/24,312
  6. Step 6: Final answer
    x = 20,534.17

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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.