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Finding the Fourth Proportional to 27,541.37, 38,004 and 15,602.15

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Solution

The fourth proportional to 27,541.37, 38,004 and 15,602.15 is: 21,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,541.37 : 38,004 = 15,602.15 : x
  2. Step 2: Convert to fraction form
    27,541.37/38,004 = 15,602.15/x
  3. Step 3: Cross multiply
    27,541.37x = 38,004 × 15,602.15
  4. Step 4: Simplify right side
    27,541.37x = 592,944,108.60
  5. Step 5: Solve for x
    x = 592,944,108.60/27,541.37
  6. Step 6: Final answer
    x = 21,529.22

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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.