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Finding the Fourth Proportional to 15,941.61, 23,892.98 and 7,164.45

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Solution

The fourth proportional to 15,941.61, 23,892.98 and 7,164.45 is: 10,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,941.61 : 23,892.98 = 7,164.45 : x
  2. Step 2: Convert to fraction form
    15,941.61/23,892.98 = 7,164.45/x
  3. Step 3: Cross multiply
    15,941.61x = 23,892.98 × 7,164.45
  4. Step 4: Simplify right side
    15,941.61x = 171,180,024.74
  5. Step 5: Solve for x
    x = 171,180,024.74/15,941.61
  6. Step 6: Final answer
    x = 10,737.94

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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.