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Finding the Fourth Proportional to 19,948.40, 29,965.80 and 14,116.40

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Solution

The fourth proportional to 19,948.40, 29,965.80 and 14,116.40 is: 21,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,948.40 : 29,965.80 = 14,116.40 : x
  2. Step 2: Convert to fraction form
    19,948.40/29,965.80 = 14,116.40/x
  3. Step 3: Cross multiply
    19,948.40x = 29,965.80 × 14,116.40
  4. Step 4: Simplify right side
    19,948.40x = 423,009,219.12
  5. Step 5: Solve for x
    x = 423,009,219.12/19,948.40
  6. Step 6: Final answer
    x = 21,205.17

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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.