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Finding the Fourth Proportional to 12,705.66, 19,050.59 and 5,301.05

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Solution

The fourth proportional to 12,705.66, 19,050.59 and 5,301.05 is: 7,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.66 : 19,050.59 = 5,301.05 : x
  2. Step 2: Convert to fraction form
    12,705.66/19,050.59 = 5,301.05/x
  3. Step 3: Cross multiply
    12,705.66x = 19,050.59 × 5,301.05
  4. Step 4: Simplify right side
    12,705.66x = 100,988,048.12
  5. Step 5: Solve for x
    x = 100,988,048.12/12,705.66
  6. Step 6: Final answer
    x = 7,948.27

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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.