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Finding the Fourth Proportional to 12,335.37, 17,021.53 and 7,298.61

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Solution

The fourth proportional to 12,335.37, 17,021.53 and 7,298.61 is: 10,071.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.37 : 17,021.53 = 7,298.61 : x
  2. Step 2: Convert to fraction form
    12,335.37/17,021.53 = 7,298.61/x
  3. Step 3: Cross multiply
    12,335.37x = 17,021.53 × 7,298.61
  4. Step 4: Simplify right side
    12,335.37x = 124,233,454.37
  5. Step 5: Solve for x
    x = 124,233,454.37/12,335.37
  6. Step 6: Final answer
    x = 10,071.32

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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.