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Finding the Fourth Proportional to 22,852.68, 31,527.42 and 14,892

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Solution

The fourth proportional to 22,852.68, 31,527.42 and 14,892 is: 20,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.68 : 31,527.42 = 14,892 : x
  2. Step 2: Convert to fraction form
    22,852.68/31,527.42 = 14,892/x
  3. Step 3: Cross multiply
    22,852.68x = 31,527.42 × 14,892
  4. Step 4: Simplify right side
    22,852.68x = 469,506,338.64
  5. Step 5: Solve for x
    x = 469,506,338.64/22,852.68
  6. Step 6: Final answer
    x = 20,544.91

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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.