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Finding the Fourth Proportional to 19,139.50, 28,657.80 and 10,807.06

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Solution

The fourth proportional to 19,139.50, 28,657.80 and 10,807.06 is: 16,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,139.50 : 28,657.80 = 10,807.06 : x
  2. Step 2: Convert to fraction form
    19,139.50/28,657.80 = 10,807.06/x
  3. Step 3: Cross multiply
    19,139.50x = 28,657.80 × 10,807.06
  4. Step 4: Simplify right side
    19,139.50x = 309,706,564.07
  5. Step 5: Solve for x
    x = 309,706,564.07/19,139.50
  6. Step 6: Final answer
    x = 16,181.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.