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Finding the Fourth Proportional to 14,039.76, 19,374.62 and 7,752

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Solution

The fourth proportional to 14,039.76, 19,374.62 and 7,752 is: 10,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,039.76 : 19,374.62 = 7,752 : x
  2. Step 2: Convert to fraction form
    14,039.76/19,374.62 = 7,752/x
  3. Step 3: Cross multiply
    14,039.76x = 19,374.62 × 7,752
  4. Step 4: Simplify right side
    14,039.76x = 150,192,015.48
  5. Step 5: Solve for x
    x = 150,192,015.48/14,039.76
  6. Step 6: Final answer
    x = 10,697.62

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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.