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Finding the Fourth Proportional to 13,971.64, 19,282.14 and 8,005.24

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Solution

The fourth proportional to 13,971.64, 19,282.14 and 8,005.24 is: 11,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.64 : 19,282.14 = 8,005.24 : x
  2. Step 2: Convert to fraction form
    13,971.64/19,282.14 = 8,005.24/x
  3. Step 3: Cross multiply
    13,971.64x = 19,282.14 × 8,005.24
  4. Step 4: Simplify right side
    13,971.64x = 154,358,158.41
  5. Step 5: Solve for x
    x = 154,358,158.41/13,971.64
  6. Step 6: Final answer
    x = 11,047.96

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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.