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Finding the Fourth Proportional to 14,156, 19,535.34 and 7,783

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Solution

The fourth proportional to 14,156, 19,535.34 and 7,783 is: 10,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156 : 19,535.34 = 7,783 : x
  2. Step 2: Convert to fraction form
    14,156/19,535.34 = 7,783/x
  3. Step 3: Cross multiply
    14,156x = 19,535.34 × 7,783
  4. Step 4: Simplify right side
    14,156x = 152,043,551.22
  5. Step 5: Solve for x
    x = 152,043,551.22/14,156
  6. Step 6: Final answer
    x = 10,740.57

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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.