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Finding the Fourth Proportional to 27,250.64, 37,602 and 15,313.40

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Solution

The fourth proportional to 27,250.64, 37,602 and 15,313.40 is: 21,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,250.64 : 37,602 = 15,313.40 : x
  2. Step 2: Convert to fraction form
    27,250.64/37,602 = 15,313.40/x
  3. Step 3: Cross multiply
    27,250.64x = 37,602 × 15,313.40
  4. Step 4: Simplify right side
    27,250.64x = 575,814,466.80
  5. Step 5: Solve for x
    x = 575,814,466.80/27,250.64
  6. Step 6: Final answer
    x = 21,130.31

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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.