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Finding the Fourth Proportional to 25,943.50, 38,852.90 and 14,816.50

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Solution

The fourth proportional to 25,943.50, 38,852.90 and 14,816.50 is: 22,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,943.50 : 38,852.90 = 14,816.50 : x
  2. Step 2: Convert to fraction form
    25,943.50/38,852.90 = 14,816.50/x
  3. Step 3: Cross multiply
    25,943.50x = 38,852.90 × 14,816.50
  4. Step 4: Simplify right side
    25,943.50x = 575,663,992.85
  5. Step 5: Solve for x
    x = 575,663,992.85/25,943.50
  6. Step 6: Final answer
    x = 22,189.14

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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.