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Finding the Fourth Proportional to 27,095.44, 40,643.16 and 11,502.12

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Solution

The fourth proportional to 27,095.44, 40,643.16 and 11,502.12 is: 17,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,095.44 : 40,643.16 = 11,502.12 : x
  2. Step 2: Convert to fraction form
    27,095.44/40,643.16 = 11,502.12/x
  3. Step 3: Cross multiply
    27,095.44x = 40,643.16 × 11,502.12
  4. Step 4: Simplify right side
    27,095.44x = 467,482,503.50
  5. Step 5: Solve for x
    x = 467,482,503.50/27,095.44
  6. Step 6: Final answer
    x = 17,253.18

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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.