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Finding the Fourth Proportional to 19,132.50, 26,405.28 and 10,749

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Solution

The fourth proportional to 19,132.50, 26,405.28 and 10,749 is: 14,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,132.50 : 26,405.28 = 10,749 : x
  2. Step 2: Convert to fraction form
    19,132.50/26,405.28 = 10,749/x
  3. Step 3: Cross multiply
    19,132.50x = 26,405.28 × 10,749
  4. Step 4: Simplify right side
    19,132.50x = 283,830,354.72
  5. Step 5: Solve for x
    x = 283,830,354.72/19,132.50
  6. Step 6: Final answer
    x = 14,834.99

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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.