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Finding the Fourth Proportional to 27,587, 41,386.98 and 9,119

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Solution

The fourth proportional to 27,587, 41,386.98 and 9,119 is: 13,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,587 : 41,386.98 = 9,119 : x
  2. Step 2: Convert to fraction form
    27,587/41,386.98 = 9,119/x
  3. Step 3: Cross multiply
    27,587x = 41,386.98 × 9,119
  4. Step 4: Simplify right side
    27,587x = 377,407,870.62
  5. Step 5: Solve for x
    x = 377,407,870.62/27,587
  6. Step 6: Final answer
    x = 13,680.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.