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Finding the Fourth Proportional to 19,108.50, 26,370.90 and 10,725

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Solution

The fourth proportional to 19,108.50, 26,370.90 and 10,725 is: 14,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,108.50 : 26,370.90 = 10,725 : x
  2. Step 2: Convert to fraction form
    19,108.50/26,370.90 = 10,725/x
  3. Step 3: Cross multiply
    19,108.50x = 26,370.90 × 10,725
  4. Step 4: Simplify right side
    19,108.50x = 282,827,902.50
  5. Step 5: Solve for x
    x = 282,827,902.50/19,108.50
  6. Step 6: Final answer
    x = 14,801.16

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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.