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Finding the Fourth Proportional to 13,874.76, 19,147.32 and 7,587

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Solution

The fourth proportional to 13,874.76, 19,147.32 and 7,587 is: 10,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.76 : 19,147.32 = 7,587 : x
  2. Step 2: Convert to fraction form
    13,874.76/19,147.32 = 7,587/x
  3. Step 3: Cross multiply
    13,874.76x = 19,147.32 × 7,587
  4. Step 4: Simplify right side
    13,874.76x = 145,270,716.84
  5. Step 5: Solve for x
    x = 145,270,716.84/13,874.76
  6. Step 6: Final answer
    x = 10,470.14

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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.