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Finding the Fourth Proportional to 14,232, 19,638.66 and 8,262.50

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Solution

The fourth proportional to 14,232, 19,638.66 and 8,262.50 is: 11,401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232 : 19,638.66 = 8,262.50 : x
  2. Step 2: Convert to fraction form
    14,232/19,638.66 = 8,262.50/x
  3. Step 3: Cross multiply
    14,232x = 19,638.66 × 8,262.50
  4. Step 4: Simplify right side
    14,232x = 162,264,330.06
  5. Step 5: Solve for x
    x = 162,264,330.06/14,232
  6. Step 6: Final answer
    x = 11,401.37

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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.