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Finding the Fourth Proportional to 23,085.96, 31,856.72 and 13,016.88

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Solution

The fourth proportional to 23,085.96, 31,856.72 and 13,016.88 is: 17,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085.96 : 31,856.72 = 13,016.88 : x
  2. Step 2: Convert to fraction form
    23,085.96/31,856.72 = 13,016.88/x
  3. Step 3: Cross multiply
    23,085.96x = 31,856.72 × 13,016.88
  4. Step 4: Simplify right side
    23,085.96x = 414,674,983.36
  5. Step 5: Solve for x
    x = 414,674,983.36/23,085.96
  6. Step 6: Final answer
    x = 17,962.21

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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.