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Finding the Fourth Proportional to 27,435.10, 41,156.98 and 9,909.22

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Solution

The fourth proportional to 27,435.10, 41,156.98 and 9,909.22 is: 14,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,435.10 : 41,156.98 = 9,909.22 : x
  2. Step 2: Convert to fraction form
    27,435.10/41,156.98 = 9,909.22/x
  3. Step 3: Cross multiply
    27,435.10x = 41,156.98 × 9,909.22
  4. Step 4: Simplify right side
    27,435.10x = 407,833,569.36
  5. Step 5: Solve for x
    x = 407,833,569.36/27,435.10
  6. Step 6: Final answer
    x = 14,865.39

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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.