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Finding the Fourth Proportional to 13,106.87, 19,648.50 and 4,781.08

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Solution

The fourth proportional to 13,106.87, 19,648.50 and 4,781.08 is: 7,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.87 : 19,648.50 = 4,781.08 : x
  2. Step 2: Convert to fraction form
    13,106.87/19,648.50 = 4,781.08/x
  3. Step 3: Cross multiply
    13,106.87x = 19,648.50 × 4,781.08
  4. Step 4: Simplify right side
    13,106.87x = 93,941,050.38
  5. Step 5: Solve for x
    x = 93,941,050.38/13,106.87
  6. Step 6: Final answer
    x = 7,167.31

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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.