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Finding the Fourth Proportional to 23,411.84, 35,117.28 and 6,771.20

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Solution

The fourth proportional to 23,411.84, 35,117.28 and 6,771.20 is: 10,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.84 : 35,117.28 = 6,771.20 : x
  2. Step 2: Convert to fraction form
    23,411.84/35,117.28 = 6,771.20/x
  3. Step 3: Cross multiply
    23,411.84x = 35,117.28 × 6,771.20
  4. Step 4: Simplify right side
    23,411.84x = 237,786,126.34
  5. Step 5: Solve for x
    x = 237,786,126.34/23,411.84
  6. Step 6: Final answer
    x = 10,156.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.