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Finding the Fourth Proportional to 14,010.38, 19,334.32 and 7,722.89

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Solution

The fourth proportional to 14,010.38, 19,334.32 and 7,722.89 is: 10,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,010.38 : 19,334.32 = 7,722.89 : x
  2. Step 2: Convert to fraction form
    14,010.38/19,334.32 = 7,722.89/x
  3. Step 3: Cross multiply
    14,010.38x = 19,334.32 × 7,722.89
  4. Step 4: Simplify right side
    14,010.38x = 149,316,710.61
  5. Step 5: Solve for x
    x = 149,316,710.61/14,010.38
  6. Step 6: Final answer
    x = 10,657.58

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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.