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Finding the Fourth Proportional to 24,661.57, 36,955.35 and 14,790

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Solution

The fourth proportional to 24,661.57, 36,955.35 and 14,790 is: 22,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,661.57 : 36,955.35 = 14,790 : x
  2. Step 2: Convert to fraction form
    24,661.57/36,955.35 = 14,790/x
  3. Step 3: Cross multiply
    24,661.57x = 36,955.35 × 14,790
  4. Step 4: Simplify right side
    24,661.57x = 546,569,552.55
  5. Step 5: Solve for x
    x = 546,569,552.55/24,661.57
  6. Step 6: Final answer
    x = 22,162.80

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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.