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Finding the Fourth Proportional to 27,051.84, 40,572.90 and 12,258

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Solution

The fourth proportional to 27,051.84, 40,572.90 and 12,258 is: 18,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,051.84 : 40,572.90 = 12,258 : x
  2. Step 2: Convert to fraction form
    27,051.84/40,572.90 = 12,258/x
  3. Step 3: Cross multiply
    27,051.84x = 40,572.90 × 12,258
  4. Step 4: Simplify right side
    27,051.84x = 497,342,608.20
  5. Step 5: Solve for x
    x = 497,342,608.20/27,051.84
  6. Step 6: Final answer
    x = 18,384.80

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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.