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Finding the Fourth Proportional to 28,238.19, 42,357.05 and 7,178.30

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Solution

The fourth proportional to 28,238.19, 42,357.05 and 7,178.30 is: 10,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,238.19 : 42,357.05 = 7,178.30 : x
  2. Step 2: Convert to fraction form
    28,238.19/42,357.05 = 7,178.30/x
  3. Step 3: Cross multiply
    28,238.19x = 42,357.05 × 7,178.30
  4. Step 4: Simplify right side
    28,238.19x = 304,051,364.34
  5. Step 5: Solve for x
    x = 304,051,364.34/28,238.19
  6. Step 6: Final answer
    x = 10,767.38

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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.