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Finding the Fourth Proportional to 24,798, 37,187.28 and 10,004.16

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Solution

The fourth proportional to 24,798, 37,187.28 and 10,004.16 is: 15,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,798 : 37,187.28 = 10,004.16 : x
  2. Step 2: Convert to fraction form
    24,798/37,187.28 = 10,004.16/x
  3. Step 3: Cross multiply
    24,798x = 37,187.28 × 10,004.16
  4. Step 4: Simplify right side
    24,798x = 372,027,499.08
  5. Step 5: Solve for x
    x = 372,027,499.08/24,798
  6. Step 6: Final answer
    x = 15,002.32

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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.