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Finding the Fourth Proportional to 10,019.58, 13,814.19 and 6,870.30

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Solution

The fourth proportional to 10,019.58, 13,814.19 and 6,870.30 is: 9,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.58 : 13,814.19 = 6,870.30 : x
  2. Step 2: Convert to fraction form
    10,019.58/13,814.19 = 6,870.30/x
  3. Step 3: Cross multiply
    10,019.58x = 13,814.19 × 6,870.30
  4. Step 4: Simplify right side
    10,019.58x = 94,907,629.56
  5. Step 5: Solve for x
    x = 94,907,629.56/10,019.58
  6. Step 6: Final answer
    x = 9,472.22

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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.