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Finding the Fourth Proportional to 25,607.48, 38,409.84 and 9,820.07

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Solution

The fourth proportional to 25,607.48, 38,409.84 and 9,820.07 is: 14,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,607.48 : 38,409.84 = 9,820.07 : x
  2. Step 2: Convert to fraction form
    25,607.48/38,409.84 = 9,820.07/x
  3. Step 3: Cross multiply
    25,607.48x = 38,409.84 × 9,820.07
  4. Step 4: Simplify right side
    25,607.48x = 377,187,125.44
  5. Step 5: Solve for x
    x = 377,187,125.44/25,607.48
  6. Step 6: Final answer
    x = 14,729.57

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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.