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Finding the Fourth Proportional to 12,932.85, 17,848.98 and 7,628.16

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Solution

The fourth proportional to 12,932.85, 17,848.98 and 7,628.16 is: 10,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.85 : 17,848.98 = 7,628.16 : x
  2. Step 2: Convert to fraction form
    12,932.85/17,848.98 = 7,628.16/x
  3. Step 3: Cross multiply
    12,932.85x = 17,848.98 × 7,628.16
  4. Step 4: Simplify right side
    12,932.85x = 136,154,875.28
  5. Step 5: Solve for x
    x = 136,154,875.28/12,932.85
  6. Step 6: Final answer
    x = 10,527.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.