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Finding the Fourth Proportional to 21,847.68, 30,162.24 and 14,417.28

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Solution

The fourth proportional to 21,847.68, 30,162.24 and 14,417.28 is: 19,904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847.68 : 30,162.24 = 14,417.28 : x
  2. Step 2: Convert to fraction form
    21,847.68/30,162.24 = 14,417.28/x
  3. Step 3: Cross multiply
    21,847.68x = 30,162.24 × 14,417.28
  4. Step 4: Simplify right side
    21,847.68x = 434,857,459.51
  5. Step 5: Solve for x
    x = 434,857,459.51/21,847.68
  6. Step 6: Final answer
    x = 19,904.06

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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.