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Finding the Fourth Proportional to 28,117.53, 42,147 and 13,308.84

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Solution

The fourth proportional to 28,117.53, 42,147 and 13,308.84 is: 19,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,117.53 : 42,147 = 13,308.84 : x
  2. Step 2: Convert to fraction form
    28,117.53/42,147 = 13,308.84/x
  3. Step 3: Cross multiply
    28,117.53x = 42,147 × 13,308.84
  4. Step 4: Simplify right side
    28,117.53x = 560,927,679.48
  5. Step 5: Solve for x
    x = 560,927,679.48/28,117.53
  6. Step 6: Final answer
    x = 19,949.39

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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.