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Finding the Fourth Proportional to 27,114.40, 40,688.88 and 11,532

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Solution

The fourth proportional to 27,114.40, 40,688.88 and 11,532 is: 17,305.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.40 : 40,688.88 = 11,532 : x
  2. Step 2: Convert to fraction form
    27,114.40/40,688.88 = 11,532/x
  3. Step 3: Cross multiply
    27,114.40x = 40,688.88 × 11,532
  4. Step 4: Simplify right side
    27,114.40x = 469,224,164.16
  5. Step 5: Solve for x
    x = 469,224,164.16/27,114.40
  6. Step 6: Final answer
    x = 17,305.35

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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.