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Finding the Fourth Proportional to 19,029.04, 28,543.52 and 5,178

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Solution

The fourth proportional to 19,029.04, 28,543.52 and 5,178 is: 7,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,029.04 : 28,543.52 = 5,178 : x
  2. Step 2: Convert to fraction form
    19,029.04/28,543.52 = 5,178/x
  3. Step 3: Cross multiply
    19,029.04x = 28,543.52 × 5,178
  4. Step 4: Simplify right side
    19,029.04x = 147,798,346.56
  5. Step 5: Solve for x
    x = 147,798,346.56/19,029.04
  6. Step 6: Final answer
    x = 7,766.99

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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.