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Finding the Fourth Proportional to 19,274, 26,598.12 and 10,442

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Solution

The fourth proportional to 19,274, 26,598.12 and 10,442 is: 14,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,274 : 26,598.12 = 10,442 : x
  2. Step 2: Convert to fraction form
    19,274/26,598.12 = 10,442/x
  3. Step 3: Cross multiply
    19,274x = 26,598.12 × 10,442
  4. Step 4: Simplify right side
    19,274x = 277,737,569.04
  5. Step 5: Solve for x
    x = 277,737,569.04/19,274
  6. Step 6: Final answer
    x = 14,409.96

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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.