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Finding the Fourth Proportional to 17,775.06, 24,529.95 and 9,817.80

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Solution

The fourth proportional to 17,775.06, 24,529.95 and 9,817.80 is: 13,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775.06 : 24,529.95 = 9,817.80 : x
  2. Step 2: Convert to fraction form
    17,775.06/24,529.95 = 9,817.80/x
  3. Step 3: Cross multiply
    17,775.06x = 24,529.95 × 9,817.80
  4. Step 4: Simplify right side
    17,775.06x = 240,830,143.11
  5. Step 5: Solve for x
    x = 240,830,143.11/17,775.06
  6. Step 6: Final answer
    x = 13,548.77

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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.