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Finding the Fourth Proportional to 12,390, 18,538.32 and 8,699.52

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Solution

The fourth proportional to 12,390, 18,538.32 and 8,699.52 is: 13,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,390 : 18,538.32 = 8,699.52 : x
  2. Step 2: Convert to fraction form
    12,390/18,538.32 = 8,699.52/x
  3. Step 3: Cross multiply
    12,390x = 18,538.32 × 8,699.52
  4. Step 4: Simplify right side
    12,390x = 161,274,485.61
  5. Step 5: Solve for x
    x = 161,274,485.61/12,390
  6. Step 6: Final answer
    x = 13,016.50

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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.