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Finding the Fourth Proportional to 13,133.78, 19,701.94 and 5,234.40

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Solution

The fourth proportional to 13,133.78, 19,701.94 and 5,234.40 is: 7,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.78 : 19,701.94 = 5,234.40 : x
  2. Step 2: Convert to fraction form
    13,133.78/19,701.94 = 5,234.40/x
  3. Step 3: Cross multiply
    13,133.78x = 19,701.94 × 5,234.40
  4. Step 4: Simplify right side
    13,133.78x = 103,127,834.74
  5. Step 5: Solve for x
    x = 103,127,834.74/13,133.78
  6. Step 6: Final answer
    x = 7,852.11

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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.