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Finding the Fourth Proportional to 12,931.84, 19,409.28 and 6,010.24

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Solution

The fourth proportional to 12,931.84, 19,409.28 and 6,010.24 is: 9,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.84 : 19,409.28 = 6,010.24 : x
  2. Step 2: Convert to fraction form
    12,931.84/19,409.28 = 6,010.24/x
  3. Step 3: Cross multiply
    12,931.84x = 19,409.28 × 6,010.24
  4. Step 4: Simplify right side
    12,931.84x = 116,654,431.03
  5. Step 5: Solve for x
    x = 116,654,431.03/12,931.84
  6. Step 6: Final answer
    x = 9,020.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.