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Finding the Fourth Proportional to 17,766.84, 24,518.30 and 9,809.00

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Solution

The fourth proportional to 17,766.84, 24,518.30 and 9,809.00 is: 13,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.84 : 24,518.30 = 9,809.00 : x
  2. Step 2: Convert to fraction form
    17,766.84/24,518.30 = 9,809.00/x
  3. Step 3: Cross multiply
    17,766.84x = 24,518.30 × 9,809.00
  4. Step 4: Simplify right side
    17,766.84x = 240,499,925.01
  5. Step 5: Solve for x
    x = 240,499,925.01/17,766.84
  6. Step 6: Final answer
    x = 13,536.45

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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.