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Finding the Fourth Proportional to 19,446, 26,835.48 and 10,614

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Solution

The fourth proportional to 19,446, 26,835.48 and 10,614 is: 14,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,446 : 26,835.48 = 10,614 : x
  2. Step 2: Convert to fraction form
    19,446/26,835.48 = 10,614/x
  3. Step 3: Cross multiply
    19,446x = 26,835.48 × 10,614
  4. Step 4: Simplify right side
    19,446x = 284,831,784.72
  5. Step 5: Solve for x
    x = 284,831,784.72/19,446
  6. Step 6: Final answer
    x = 14,647.32

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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.