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Finding the Fourth Proportional to 14,971.40, 22,474.38 and 9,787.40

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Solution

The fourth proportional to 14,971.40, 22,474.38 and 9,787.40 is: 14,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.40 : 22,474.38 = 9,787.40 : x
  2. Step 2: Convert to fraction form
    14,971.40/22,474.38 = 9,787.40/x
  3. Step 3: Cross multiply
    14,971.40x = 22,474.38 × 9,787.40
  4. Step 4: Simplify right side
    14,971.40x = 219,965,746.81
  5. Step 5: Solve for x
    x = 219,965,746.81/14,971.40
  6. Step 6: Final answer
    x = 14,692.40

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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.