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Finding the Fourth Proportional to 19,149.68, 28,725 and 5,298.80

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Solution

The fourth proportional to 19,149.68, 28,725 and 5,298.80 is: 7,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,149.68 : 28,725 = 5,298.80 : x
  2. Step 2: Convert to fraction form
    19,149.68/28,725 = 5,298.80/x
  3. Step 3: Cross multiply
    19,149.68x = 28,725 × 5,298.80
  4. Step 4: Simplify right side
    19,149.68x = 152,208,030
  5. Step 5: Solve for x
    x = 152,208,030/19,149.68
  6. Step 6: Final answer
    x = 7,948.33

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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.