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Finding the Fourth Proportional to 16,597.80, 22,905 and 9,883.68

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Solution

The fourth proportional to 16,597.80, 22,905 and 9,883.68 is: 13,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,597.80 : 22,905 = 9,883.68 : x
  2. Step 2: Convert to fraction form
    16,597.80/22,905 = 9,883.68/x
  3. Step 3: Cross multiply
    16,597.80x = 22,905 × 9,883.68
  4. Step 4: Simplify right side
    16,597.80x = 226,385,690.40
  5. Step 5: Solve for x
    x = 226,385,690.40/16,597.80
  6. Step 6: Final answer
    x = 13,639.50

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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.